MENSURATION-2D |ARMY AGNIVEER BATCH -2026|ONE SHOT|

Hinzugefügt: 2026-06-01

[00:00:07]Hello my dear friends, I am Suraj Sharma, I heartily welcome you to The Suraj Sir Maths Academy YouTube channel.

[00:00:10]Friends, Mensuration 2D class is going to be a very explosive session because one or two questions are being asked in every practice set of the Army paper and they were asked earlier also, so we are going to conduct it, so join quickly and share the class, brother, in a explosive manner, first share it quickly, like it, then we will move ahead, brother, share the class, today I am going to conduct the entire Mensuration 2D, like your paper and formula based questions come and formula questions are the same, so come join quickly [nasal sound] is the class not getting stuck, brother.

[00:00:58]Ok.

[00:01:06]Come on brother. Now listen friends. In this we mainly talk about three diagrams.

[00:01:11]Look son, here your mensuration is divided into two parts. Your paper is near in two-three days, hence we will not discuss it in depth. Your mensuration is divided into two parts. What is mensuration? To do a mensuration means to calculate.

[00:01:22]Calculating an area, brother. So brother, any field can be of two types.

[00:01:26]Either in 2D shape or 3D shape.

[00:01:28]So mensuration is based on two types of shapes.

[00:01:30]One is 2D and the other is 3D i.e. two-dimensional shape. What is this two-dimensional figure? Which have only two dimensions.

[00:01:36]length and width. We call them two-dimensional shapes. Like there is a triangle, there is a quadrilateral, what else do you say? It is a circle.

[00:01:42]okay brother? And 3D shapes are those shapes which have length, width and height.

[00:01:46]So today we will specially discuss only 2D shapes. And among the 2D shapes, the first one we are going to discuss is triangle. Triangle is a figure which is closed with three sides and three interior angles.

[00:01:58]What do we call a closed figure? It is called a triangle. The sum of the three interior angles of a triangle is 180 degrees. Brother. So let us first talk about the type of this triangle. So the first triangle in this is your equilateral triangle brother. Which one is it friend? Equilateral triangle.

[00:02:15]What is an equilateral triangle, brother? Equilateral triangle. Sam means equal. Bahu means arm.

[00:02:21]What should all its arms be like? Be equal. It is called an equilateral triangle, brother. And each angle of which is of what degree, brother? It should be 60 degrees. How many degrees is each angle? 60-60. A triangle whose all sides are equal. Each angle should be 60 degrees. It is called an equilateral triangle.

[00:02:36]What is it called? Equilateral triangle brother so I can say suppose ABC is an equilateral triangle son what is it? is an equilateral triangle.

[00:02:42]In this all the sides will be equal.

[00:02:44]Tell me son, AB will be equal to BC and BC will be equal to AC. All sides and every angle are equal. You can see here that angle A is equal to angle B is equal to angle C, how many degrees are all of them? 60 degrees. Brother, what is its area, my friend?

[00:03:00]3/4 * A² A What's here son? Arm.

[00:03:04]All its sides are equal. So what do you accept? a and a then what is its area? 3/4 * square of the side.

[00:03:11]What happens? 3/4 * the square of the side is its area. What is perimeter? Let me tell you one more interesting thing. The perimeter of any 2D figure is the sum of all the sides. So I add all the sides a + a + a what will happen? 3a What will happen, friend? So what is perimeter? All the sides add up, brother. Ok?

[00:03:34]Ok?

[00:03:36]You have to remember this much. Area 3/4 * Side Square Perimeter 3a Well what is its height?

[00:03:42]I will write the formula of equilateral triangle here. Height If you ever ask the height of an equilateral triangle, what is its height, son? Height is a line drawn from one mirror to the opposite edge, making a 90° angle. It is called height. So if you ever ask about its height, what is the height? 3/2 * side. It is just 3/2 * side brother.

[00:04:03][nasal sound] Radhe-Radhe Bhaiya everyone. Radhe-Radhe. Jai Shri Ram. Please wear your glasses, sir. What is your name sir?

[00:04:10]Come on brother, it's an equilateral triangle.

[00:04:13]Say the equilateral triangle formula again with me. What is 3/4 * side square area and perimeter? 3a If the height is asked then 3/2 * side. Brother. Ok? And sometimes I will give you the height and ask you the area, son.

[00:04:31]If the area is asked by giving the height, then you can find out the side directly from the height, but if you want to remember it directly, then you can remember h²/3 i.e. side is the square of the height / 3, okay, but these two formulas are important for you, see, I have told you directly the important ones, these come the most in your Agniveer paper brother, okay, these are the majority, let us now discuss what is the possibility that how questions can be asked in your Agniveer paper or how they have been asked, brother. Like the first question is fine. Tell me what is it? If the side of an equilateral triangle is g, what will be its area?

[00:05:05]Simple thing, what will be the area my friend?

[00:05:07]I will write to you once again. Isn't it? If we write it together, we will remember it. 3/4 * square of the side. So tell me son, how much is the area 3/4 * side here? So square of 6 is 36, four names then the answer will be 9 3, which option is matching? Sometimes he will ask for the area by giving the side, sometimes he will ask for the side by giving the area, brother. Ok? Sometimes it can also give the area. Suppose I am asking the same question that if the area is 9 3 then what is the side? So what should I write directly? 3/4 * square of the side. 3 would have been cut into 3.

[00:05:39]9 * 4 = 36 so a squared equals 36 so what does a go equal to? six. Ok? So it's the same thing brother. Sometimes he will ask for the area by giving the side.

[00:05:45]Sometimes he will give the area and ask for the side.

[00:05:48]Brother, you should remember the formula, my friend. I am asking again, what is the formula for area? 3/4 * Side Square. Okay brother, it will definitely come, so let's move on to the next question. After solving this question, please give me the answer to this question quickly.

[00:06:03]Radhe-Radhe Bhaiya, please give me the answer to this question quickly.

[00:06:13]If the perimeter of an equilateral triangle is 12 cm, then what will be the side?

[00:06:21]Tell me, what will be the side?

[00:06:26]What is the perimeter of an equilateral triangle?

[00:06:28]3a means the sum of all sides is 3a equals son 12. So how much did the arm reach? Four. Now look, here only the arm has been asked. What have you asked?

[00:06:38]Now let me tell you one or two more questions from this.

[00:06:40]Suppose if I had asked you about the area, son, what would the area be? 3/4 * square of the side. So what would have happened if four had been subtracted from four? 4 3 cm² Suppose if son had asked you about your height, then if you have given the side then how would you have found the height son, that is height 3/2 * side, if it was cut then what would have come out to be 2 3, brother he can ask anything as per his wish, is it okay or not, otherwise we just need to know the full answer, these questions will definitely come, tell me once the area of ​​an equilateral triangle is 3/4 * square of the side and the perimeter is the sum of all the sides of any shape brother.

[00:07:19]Ok? It has three.

[00:07:22]Now let's talk about right angle triangle. What are you talking about, friend? Right angled triangle. This is a very very mostant triangle brother.

[00:07:30]If you can't see it, I will make it for you brother. Right angled triangle. A triangle in which one angle is fixed at 90°.

[00:07:37]is called a right angle. What is it called?

[00:07:39]Right angle. These arms on this side are called hypotenuse. What is it called? Ear.

[00:07:43]Ok? This is called Aadhaar, brother. What is it called? Base. And what is this thing of yours called? Long. What is it called? So son, Pythagoras is involved in this. How does it look?

[00:07:52]Pythagoras Theorem. Pythagoras, tell me son, what is it? Pythagoras.

[00:07:58]What is Pythagoras theorem, friend?

[00:08:00]Say. Yes. The square of the hypotenuse is equal to the square of the hypotenuse plus the square of the perpendicular. And son, if you consider this Pythagoras then it is a good thing. But remember some Pythagorean triplets, son. It is very important. It is useful. If this side is three, this is four or this or four these three will not make any difference. So what will be the karna of this side? Five. Tell me son, this side of it is five. If this is 12 then what will this be? Say son 13. If you tell me this side of it, son, it is seven. If this is 24 then what will it be? 25 If son, look here carefully. If its side is eight. If this is 15 then what will this be? What will be 17? 17 And by doubling this, one can make one more arm.

[00:08:40]What do you tell me son? Its twice three is six.

[00:08:43]Double of four is eight and double of five is 10. 6 eight and 10, so this triplet is very useful for you brother, it is very useful. Ok?

[00:08:50]We can take it out directly. If the hypotenuse is given then we can tell the base height directly. If the base height is given then the hypotenuse can be calculated directly.

[00:08:57]We will not need to apply Pythagoras.

[00:09:00]Pythagoras, if you listen son, let me tell you one more thing.

[00:09:05]What is the area of ​​any triangle in the world? If he doesn't even write down the name of which variable triangle it is, then what will you do? So tell me what is the area of ​​any triangle? 1/2 base * height 1/2 base It will be said like this The base of a triangle is this much The height is this much Tell me the area then simply 1/2 base * height The matter ends What is the area of ​​any triangle 1/2 base * height What is the sum of height and right angle 1/2 base * square of height and hypotenuse equals square of base plus square of perpendicular Is there any problem friend tell me in this I will understand Come on brother now ask me a question on this and show me If you have taken it down quickly then yes do not take this down ok take this down If these are many triplets then take it down you are very useful that is the triplet now see if you will ask a question then it will be very useful at least one or two will be useful are you understanding b * h son b means base i.e. base and h means height i.e. height.

[00:10:20]So base * height. Let's ask what kind of questions have been asked in your Agniveer paper, let us quickly see those questions brother. Isn't it? Those brothers who are joining, please friends, those who have not subscribed to the channel, do it quickly. Isn't it? And those who have done it, please do like it. Let us go. Okay, here is the question, it will be flashing on your screen, I will tell you right now, pay attention here, the base of a right angled triangle is three and the perpendicular is four, so what will be the hypotenuse of the hypotenuse, tell me, look, I just told you triplet, 3 4 5, if you do n't remember son, triplet, then see, how much is the base, how much is the perpendicular, four, so the square of the perpendicular plus the square of the base is equal to the square of the hypotenuse, tell me son, this is what it is, so the square of 4 is 16 3 is equal to 9, the square of the hypotenuse is 25 25, so what will be the hypotenuse, tell me son, if the square of the hypotenuse is equal to what will be the hypotenuse, then what will be the hypotenuse, five, but remember, this is three, this is four, so son, what will be this, five, the matter is over, we will not need to do so much, okay, tell me its quick answer, find the area of ​​a triangle with half 10 cm height 8 cm, then tell me what will be 1/2 base * height hypotenuse, I have not asked anything, I have asked what is the area, I have asked what is the area, so we will calculate 2 * 5 = 10 8 * 5 = It is 40, right?

[00:11:54]Say it once. Area of ​​a right angled triangle is 1/2 base * height or area of ​​any triangle is 1/2 base * height.

[00:12:01]Come on brother, we can call it a normal triangle, we can call it a scalene triangle i.e. scalene triangle, what can we call it, an odd scalene triangle.

[00:12:12]Now what is this scalene triangle?

[00:12:14]All of whose sides are different. Son, how are all your arms? Be different. You are not equal to each other. Ok? This is called odd-armed. When the sides are different then how will the angles be, friend? will vary. So for this, let's say this side is a. This is b and what is this? c So first of all tell me son what will be its perimeter? If I ask perimeter, perimeter, what is perimeter?

[00:12:35]What will happen if we add the sum of all the sides of any shape? What is a + b + c true? Then s call this son semi perimeter. What do you say? And this is what we need here, the semiperimeter. Why do you need it, friend? Semi-perimeter. So to find the area of ​​a scalene triangle we have to apply Heron's formula. Which formula brother? Heroes. We call this the Heroines formula. Which formula are you talking about brother? Heroin's formula.

[00:13:03]Heroine's formula. Okay brother. Heroine Katrina made a cap. Heroine means heroine brother love you friend my guru ji so cute beautiful oh wow brother who sent this message brother what is this Har formula formula son of scalene triangle the sides of any triangle may be different brother sides may be different brother so for this first the half perimeter is calculated semi perimeter means half of the perimeter so what is the perimeter if I halve the sum of all the sides then what will happen half so the sum of all the sides a + b + c so the perimeter is it if I divide the perimeter by two then what will happen half perimeter so Hero formula son what is inside the root tell me son what is inside the root s - a s - b and s - c inside the root s - a s - b and s - c this is what is the semi perimeter brother this one and we call this s as semi perimeter so what does this mean for Harens formula the formula again I have told you the area of ​​any regular scalene triangle inside the root tell me Or the area of ​​the triangle whose sides are different is s - a s - b s - c inside the root.

[00:14:10]Let us discuss how questions from this have been asked in your Agniveer.

[00:14:13]Quickly, if you want to download it, then download it quickly, isn't it brother? Now let's move on to the questions asked in the paper, let's call it a normal triangle, let's call it a scalene triangle, brother, it is the same thing, okay brother, scale and triangle are the same thing, brother. So, here is the question flashing on your screen. The sides of a triangle are three 4 5, what will be its semi-perimeter, so what will be its semi-perimeter? Speak son. What is s? 3 + 4 + 5 / 2 then what is 5 4 9 3 12 / 2? How much will it cost, friend?

[00:15:11]Semi perimeter means half of the full perimeter.

[00:15:14]So what will be the total perimeter? Three and 4 7 and half of 5 12 12 six. No problem. Half the perimeter. Now suppose I ask for its area, then son, which triangle does these three, four, five sides belong to? Tell me son about the right angle.

[00:15:26]Which key is it? So instead of applying the Eros formula, what else would we have applied? 1/2 base * height How do we know what this height is? Brother, this is Karna.

[00:15:36]What is the longest side of a triangle?

[00:15:37]Ear. The longest side of the triangle is called hypotenuse, my brother.

[00:15:39]What is it called? Ear. So there is no need for our five here.

[00:15:43]So what would happen if 2 times 2 is 4? six. So what would be the area? But we have not been asked about the area.

[00:15:48]Perimeter is asked. What is the area if the sides are 6 8 10? Now see if you know that 6 8 10 is a triplet of a right triangle. My friend, what is triplet 6 8 10? If it is a right angled triangle then it is fine. Put it on immediately brother. 1/2 base * height divided by two is three and 8 * 3 = 24 is the end of the matter. But he has not said which triangle is it brother? Then you will know. I knew it looked like 6 8 10 right angles.

[00:16:17]What does it involve? And if I hadn't known, what would I have taken out first when I planted the Hero flower? What does S extract? What is S?

[00:16:24]The sum of all the sides and half of it i.e. half the perimeter. So 10 8 18 6 24 / 2 son, how much would have come, how much would have come in 12 and I would have applied every formula, tell me son, I will apply it here, after removing it, tell me how much is s inside the s root, 12 s - a so 12 - 6 s - b so 8 out of 12 is 4 and s - c out of 12 is 10 is 2, okay brother, then what can I write for this 12, 6 * 2 = 12, this is six, this is four, this is two, it will come six times, it will come twice and how many times will four come? Two then 6 * 2 = 12 * 2 = 24, you could have calculated it like this also brother. Are you getting the point? So you know the side is 6 8 10 of the right angle triangle, my friend, so put it, tell me, there is no need for arrows corner. 1/2 base * height.

[00:17:14]Where we don't need the biggest arm.

[00:17:16]But if we don't know or don't remember or suppose the different sides do n't look like triplets, then we can use Heron's formula, my friend. Ok?

[00:17:26]Brother will come. very nice. Option B is the correct answer. Let's move on to the next question brother. Come on, show me how to do this quickly. If the base is 12 and the height is five, what will be the area?

[00:17:56]Tell me 1/2 base is 12 height is five we will divide it by two 6 * 5 30 these were cheap questions worth two pennies tell me okay so son look my class today is my formula class what is it but I made you do questions along with the formula so you will quickly repeat all the formulas of the triangle once. First of all, you will say with me, tell the area of ​​the equilateral triangle. 3/4 * square of the side. If you want to find the height then 3/2 * side. Ok?

[00:18:28]And you know the perimeter is the sum of all the sides.

[00:18:30]Now let's talk about right angle triangle, tell me son.

[00:18:32]In a right triangle, one angle is 90°.

[00:18:34]So Pythagoras is involved in this. It is Pythagoras. The square of the hypotenuse is equal to the square of the perpendicular plus the square of the base. Brother and yes tell me in a right angled triangle son, if you remember the triplet then we can quickly find the area and in a right angled triangle tell me son what is its area 1/2 base * height and perimeter if he wants to find the sum of all the sides and perimeter then how will he find it perpendicular + base + hypotenuse divided by this it is perimeter is the sum of all the sides then we read about a scalene triangle in which all the sides are unequal then tell me what is Heron's formula first find the half perimeter a + b + c /2 then apply He formula.

[00:19:10]What happens? Inside the root are s - a, s - b and s - c brother, if I ask you about isosceles, what should I ask son?

[00:19:18]Isosceles So for a while I am writing the formula of isosceles, son.

[00:19:21]What is isosceles? Look at the triangle and understand it once. What kind of triangle should have two sides? Similar. Brother, what kind of triangle should its two sides be? Be equal. Is called isosceles. As I said, this side is equal. What is ab equal to? Tell me son? AC But tell me son, what will these two not be equal to? of BC.

[00:19:41]This is called isosceles. What do you say? Isosceles triangle. And what is the area of ​​an isosceles triangle? Inside the root of b/4, you write down 4a² - b², son, the area. There is a lot if it comes. Ok? Is it an isosceles triangle? And both these angles are equal in this. This theta, what will this be? Theta, which one is this, we call it isosceles, isoscale triangle.

[00:20:18]What do you say? Isoscale triangle.

[00:20:44]Let's give two equal sides and one different side, then you will understand equilateral, which area formula will you apply in it, and if you don't remember then apply Eros flower. Yes, if it requires a special formula then it is a different matter.

[00:21:07]Otherwise it would not be required to find the area.

[00:21:09]Ok? We can do it with Ans formula also brother.

[00:21:14]Come on brother, let's prepare for the uniform and practice hard.

[00:21:16]Selection will be confirmed brother. You should not worry. Ok? 2024 has just been written. Look, instead of 26, 24 has been written. Instead of 26, brother, quadrilateral, quadrilaterals. Brother, what is a quadrilateral?

[00:21:30]What is the figure surrounded by four sides called? What is a quadrilateral called? And what is the sum of its three interior angles?

[00:21:37]360. How much was there in the triangle?

[00:21:39]180. So, do you know what happens many times in this, he gives us three angles and asks for the fourth one, then we will add all three and subtract from 360, then the fourth angle will come out.

[00:21:48]Brother, is there any problem? In such a triangle, he gives two angles. If he asks for the third one, then we will subtract from 180 by adding both. Is it clear brother? So now if I talk about class, son, what is class? Look, what happened? Yes, whatever it is, tell me son, what is class?

[00:22:01]What kind of shape is such a figure square? Tell me son, what are all the arms like? Similar. And each angle is 90 degrees. Son, how many degrees is each angle? It is 90 degrees.

[00:22:09]In this, tell me what are diagonals also?

[00:22:11]Equal. Son, what are its diagonals like? Equal. All sides are equal, all angles are equal, diagonals are equal. Is it okay my brother? And its diagonal, son, its diagonal, the diagonal is 2 times the side. If side is a then what is the diagonal? a 2 is okay? Then let's talk about its area.

[00:22:30]If we talk about the square of the side, its perimeter is 4a and if we talk about its diagonal, it is 2 times the side.

[00:22:38]How many times the side is it? 2 times. Is there any problem? Now let us come to how this question was asked in your Agniveer paper, let us discuss that brother.

[00:22:47]Yes, write the formula quickly. Let's go to your question: area is the square of the side and perimeter is the root of 2 times the diagonal side. Ok? Here is the question. The side of a square is 10 cm.

[00:23:23]What will be its area? The square of 10 is a square of side 100.

[00:23:28]What is area brother? Square of the side.

[00:23:31]If the perimeter of a square is 32, what will be the length of its side? Tell.

[00:23:36]What will happen? Hey 4a equals son 32 what is the perimeter? If the perimeter is 4a then 4a = 32 then if we cut it then a = 8 a what will be the equivalent? 8 Now if you look at it several times, do you know what it does? He asks for the area by giving the perimeter. This question also comes up a lot. So now if you find the side, you will not be able to find the area. Square of 8 Come on, what's the problem? So it is important.

[00:23:59]The arm should be known. What should I know brother? The arm is done.

[00:24:05]Tell me, tell me quickly. 5 cm Find the length of the diagonal of the square of side. You are not a fool, you are useless, if you are asking about diagonal then 5 2 is not asking about area, you will make the square of 5 2 25, come on what will be the next rectangle brother, rectangle is a shape whose opposite sides are equal and parallel, what is it called, parallel rectangle, what is it called my friend, rectangle, in rectangle son the diagonals are equal, what are the diagonals? Are equal.

[00:24:44]But its diagonals do not intersect at 90 degrees.

[00:24:46]Like the diagonals of the square were intersecting at 90 degrees brother. Now listen, what is its area? Length * Width. And what is its perimeter? Speak son. 2 in parentheses l + b. Well, I had one more question to tell you. I forgot to tell it in the triangle there and I forgot to tell it in the square here also. Listen here son. I am telling you once again.

[00:25:04]Listen carefully son. If someone ever tells you to listen to the ratio of the sides of two triangles here, son. Two triangles, the ratio of their sides is 2:3. If someone asks you about the ratio of its area, son, then square it.

[00:25:16]Remember the square of 2, 4 and square of 3. If it says side, perimeter, it also says the ratio of perimeters is 2:3, so the ratio of perimeters, sides and heights are all equal, son. And if we want to go to the area, then what do we do? Square it tells you two squares. If the ratio of sides of two squares is 2:3, then what will be the area? 4:9. So give us the ratio of sides of any 2D figure. If we want to go to the area, then what would we do? Square it.

[00:25:39]Son, what would we do? If we give the area, then we will take the square root, then we will get the side. okay brother? Now he tells us that if each side of an equilateral triangle is increased by 10%, what will be the effect on its area?

[00:25:54]10% 20% then we will not do anything. Suppose the area is 100, now to reach the area, son, we will do the increment twice.

[00:26:01]10% increase so why would 110/100 become 110/100? Because to get to the area, look at the equilateral triangle, what happens in it is 3/4 * side squared, the square of the side. how much is a? So how many times do you do it for the class? Twice 100 to 100 will be cancelled out like this my friend. So what's left? The square of 11 is 121, so the area of ​​100 becomes 121.

[00:26:20]How much did it increase? Increase of 21%. So these types of questions are also asked in the paper.

[00:26:26]Okay my friend? So if you want to go from sides to area, you have to do it twice.

[00:26:30]How many times to do it? Twice brother. Ok? Questions will come. Now let us come to the rectangle.

[00:26:35]Listen carefully, son.

[00:26:37]Area of ​​rectangle length * width.

[00:26:40]First find the perimeter of the rectangle with me. We call length as l and width as b.

[00:26:43]What do you say? b. So now what is perimeter? The sum of all sides of any 2D figure.

[00:26:48]So if we take l and l and b and b to common, what will be left?

[00:26:55]This is how this perimeter is formed brother. So remember the perimeter of any shape. What happens? The sum of all sides. End of discussion. Now if brother ever asks about its diagonal, its diagonal.

[00:27:04]What are you asking friend? So it comes from Pythagoras.

[00:27:07]Why? Look son, its diagonal here, like this is its diagonal and how many degrees is the angle in it?

[00:27:12]And what is the side opposite to 90 called?

[00:27:14]Ear. So here this will be the base and height.

[00:27:17]So l squared diagonal squared equals l squared plus and I'll call the diagonal d, son. d squared is equal to what? l squared plus b squared.

[00:27:27]Diagonal will come from here quickly. So if someone ever asks you the length of the diagonal, you can do this also.

[00:27:32]Ok? I heard it sir, who is Vineet, Vineet, I heard it sir, okay brother Vineet, I heard it, let's go, did you take it off or not?

[00:28:06]Sure. Let us go. The length of a rectangle is 12.

[00:28:10]The width is eight. What will be its area? 12 * 8 = 96 right? And if I ask about the length and breadth of the diagonal, then the square of the diagonal is equal to the square of 8 plus the square of 8 is 64 and the square of 12 is 144. If I add them, tell me son, how much will it be? This 208 will come inside the root as 208 because the square will be removed and what can we write for 208 tell me son tell me I will divide it by 4 4 * 5 = 20 and 4 * 2 = 8 then what can I write for 52 13 * 4 = 52 4 will come out what will be left inside 13 so we could have found the diagonal like this also come on brother what will be the perimeter of that rectangle whose length and breadth is given brother tell me what will be the perimeter 25 okay so double of 15 10 25 50 okay what is in the 2 box l plus so in the 2 box 15 + 10 25 and 25 * 2 50 okay brother we just need to know the formula tell me this quickly area of ​​a rectangle is given as 60, length is given as 12 then what will be the width? This has been asked.

[00:29:34]So tell me what is area?

[00:29:36]Area equals length * width. So the length is given as 12 and width is asked for, so take 12 * 5 = 60 brother.

[00:29:48]is there any problem?

[00:29:52]Which one is next?

[00:29:54]Parallelogram. Now what is this parallelogram brother? Aayat's brother. Brother, you made Aayat do such steps like Michael Jackson. He gave a crooked punch here with a kunai. It was just a rectangle. When I punched it, it became crooked, brother. So in this the opposite sides are equal just like in the rectangle.

[00:30:12]Tell. And tell me son, tell us what happens in this? This is the height. This height. And what is this son? Base. So its area is base * height.

[00:30:21]What happens? Base * Height. And its perimeter is the same as that of a rectangle because it is the brother of a rectangle. So what will be the perimeter? What is the area of ​​a + b in 2? Tell me son base * height. Base means base and height means height. And what will be its perimeter? The same as the perimeter of the rectangle, son.

[00:30:43]whose? Perimeter of the rectangle. Is there any problem?

[00:30:48]You should write down one more important formula of this. You know, sometimes that gives us two b1 * h1 = b2 * h2. What is this sir? Tell me once. If it comes to you then it comes, if it does n't then it doesn't, there is no problem.

[00:30:57]Meaning, look at these two, parallel to the two longer sides, that is, the distance between the two longer sides which are parallel is the height. Now, son, the distance of the two smaller sides is also called h2.

[00:31:06]What do you say? So sometimes he gives us B1 B2 and then H1 and then asks for H2. Brother, after giving H2, he asks H1.

[00:31:11]So you can ask us like this also.

[00:31:15]Ok? How does he ask? Look One base is this much, one height is this much. If the second base is this much, what will be the second height?

[00:31:21]Just put it in and the work will be done.

[00:31:24]By the way, such questions were not given in any of your practice sets. There is no need.

[00:31:29]Come straight to the question quickly. The base of a parallelogram is 15. The height is 10. So area 15 * 2 = 150 base * height. What is area?

[00:31:42]Base * Height. End of discussion.

[00:31:45]In two positions of a parallelogram, sides are given as eight and six, then what will be the perimeter?

[00:31:51]In 2 coke, a + b is 8 and 6 is 14 2 ii is 28. Is there any problem? If area is 120 and base is 12, then tell the height.

[00:32:09]How much will the area be equal to base * height? 10.

[00:32:15]Yes, it is a parallelogram brother. Its rhombus is such a quadrilateral, all its sides are equal, but its diagonals are not equal. Its diagonals are equal, one of its smaller diagonals is equal, one is bigger diagonal, hence its area depends on the diagonal only.

[00:32:33]What is its area? 1/2 first diagonal times second diagonal. Is it ok or not? 1/2 d1 * d2 is what is the perimeter. 4 * side is a very important formula for this. He gives the diagonal and asks for the side. So d1 squared + d2 squared is equal to what? 4a² means both diagonals will give. He will ask you for your arm.

[00:33:07]So square of both diagonals + 4 * square of side who was this hello sir hello hello saw w4z fz sorry hello friend hi hi brother hi let's go to the next question its formula is very wonderful to write the diagonal of a rhombus after giving the diagonal it asks for the side very very mostant formula brother sir where did we go brother if the diagonals of a rhombus are given 12 and 16 what will be its area then if the diagonals were given then the area would be 1/2 first diagonal times second diagonal so it will be cut by two 6 and 16 six 96 take it brother one side of a rhombus is seven find its perimeter so if the side is seven then what will be the perimeter? 7 * 4 7 * 4 = 28 Area 40 square centimeters Given a diagonal. The other one asks, brother, do it and tell me.

[00:34:33]10 will not come. 1/2 d1 8 * d2 is asked.

[00:34:40]How much is it equal to? Remember 40 8 * 5 = 40 and 5 2 1/2 d1 * d2. The 1/2 d1 * d2 formula may seem simple to you right now. When questions come in the paper, we forget about flowers. The next and last quadrilateral is a strange quadrilateral whose opposite sides are parallel but not equal. Look at this son, the distance between two unequal sides is called height. What do you say? So what is its area? Let us assume the sum of the parallel sides to be 1/2 and let us take it as a. Let us consider this as b. So the sum of both sides * height. So what are a and b?

[00:35:21]Parallel sides. What is? Parallel sides.

[00:35:23]So 1/2 the sum of the parallel sides * the height.

[00:35:28]Ram-Ram Sachin.

[00:35:31]1/2 the sum of the parallel sides * the height.

[00:35:35]This is a very very most important formula for area, brother.

[00:35:40]Now brother, see quickly how this appears in the question paper.

[00:35:50]Let's go friend, do the question quickly, the parallel sides are 10 cm and 14 cm, the height is five, then what will be its area, tell me son, he will write this, he will write it, trapezium, what will he write it, trapezium, the parallel sides of the trapezium are 10 cm and 14 cm.

[00:36:40]Sir, I have forgotten what I studied, what should I do? No problem brother, it will be done. Don't worry.

[00:36:47]Just keep your physical condition good. Don't worry about the paper.

[00:36:52]First tell the sides of the parallelogram, is n't it a parallelogram? It is a trapezium, yes, so the sum of 1/2 parallel sides is 10 + 14 * height.

[00:37:04]What is the height? If we add 1/2 of both, then 24 * 5 will be divided by two. 12 12 * 5 = 60 formula. Then tell the friend of the trapezium, with me, the sum of 1/2 parallel sides * height. Now [nasal sound] understand what happens in this, son, see what maximum he can do in the paper. Let us see what he will do now. The area has come to 60. Now I am saying this question like this, the area is 60. The parallel sides are 10 and 14. So tell me the height. What will be the height?

[00:37:31]What will be the height? Just tell me, son, what will be this? If we divide 1/2 24 * h, what will be the result? If we divide it by 12 12, then the height will come to five. Just ask any one of these three things, brother, try it and tell me quickly. I could not write any trapezoid.

[00:37:51]Again and again the typing person will write a trapezium like this, the parallel sides of a trapezium are 8 and 12, the height is 6, then find the area Sir, till what date is the coaching going on brother, your coaching is going on till your paper is not done, it will be done live permanently, if the coaching of those one or two children is not done, then as far as the coaching is concerned, then brother your coaching is going on till 5th, till Ajay Singh Kushwaha Pankaj Ram Ram Guru Ji Ram Ram Bhaiya, with whom is the Melody game related, Melody game is related to Narendra Modi Ji, brother, okay like this brother, Modi Ji knows a lot, whose share was going down a lot, its share price was raised by 5%, brother, yes this is the charisma of Modi Ji, brother, so parallel sides 1/2 sum of parallel sides * height is 12 8 20 * height is 10 60 area is given 100 parallel side is 12 8 height is asked, tell me the answer quickly, Ajay Singh Kushwaha, make our option right, both C and B, this is a collusion between both of them, I want to press both the options C, B and C.

[00:39:22]Brother, both of them are in collusion.

[00:39:29]The area is 100 square centimeters. If the parallel sides are 12 and 8, what will be the height?

[00:39:34]So tell me that the area is equal, son, the bastard could not write a trapezium. He writes it like this, it is a song, I don't know what kind of intoxication he is under, so I know that song is made for my typing person, he types the same thing after getting under some kind of intoxication, so now tell me 100 is 1/2, the sum of the parallel sides is 12 + 8 * height, if you want to find it then tell me son 100 is equal to 1/2 this 20 * height, I will subtract it from two, 10 and 10.

[00:40:08]How much height have you grown? 10 So how simple is it brother, tell me is it simple or difficult?

[00:40:19]Prepare brilliantly. Questions of cleverness come again and again in the exam, brother, these are the ones I have asked you in your paper in Agniveer. Ok? And you know some people make noise like this now.

[00:40:28]One came to a live class for a day. The master who is asking simple questions. Hey, then get it done by Master Agniveer, brother. Ok?

[00:40:36]When the SSC exams are conducted, please come there brother.

[00:40:38]This is how they flutter, brother. I don't know what happened like this.

[00:40:40]Poor guy, such questions come in Agniveer.

[00:40:42]You think it's simple. You know that Agniveer people remain in the stadium day and night.

[00:40:45]So they find it difficult because their running stamina is very good. After them, you are becoming smarter, so try running with them once and you will be delighted. Ok. Come on brother. Yes, saliva, yes, it is the same thing. Let's go brother. Yes, some people try to make themselves smarter. Brother Agniveer 's questions are going on. Simply put, this is what is right for them. Similar questions come in their paper.

[00:41:09]They have to run in the stadium day and night. Brother, he remains on the ground continuously. So respect them a little. Ok? Let's take circle and semicircle. Brother circle and semicircle. Let's quickly look at the questions.

[00:41:24]What is a beta circle? A closed figure consisting of infinite points. A circular shape surrounded by infinite points. What is it called? It is called a circle and son, this measurement from the centre of the circle to its circumference, son, this round one is called circumference, in 2D shapes everyone was saying perimeter, what were you saying perimeter and here what will you say circumference, so what is the distance from any centre to the circumference called, what is the radius called and radius and son, tell me the biggest, son, what is the biggest chord of a circle, what is a chord, we call the straight length from one point to another point as chord, what is called chord and when the chord passes over the centre, through such a centre, then it becomes the diameter. What does it become? Diameter and diameter is the largest chord of the circle.

[00:42:04]This question about the circle is often asked directly.

[00:42:08]Longest chord of a circle What is the longest chord of a circle called? She is Vyas, son. What happens? So what is the area of ​​a circle, my brother? What is πr²?

[00:42:20]My date is on the 3rd, Guruji.

[00:42:21]Congratulation. I don't wish anyone best of luck, brother. I simply say congratulations. The paper may have been torn. okay brother. Yes, let's say best of luck from the heart. Best of luck son, best of luck will come. Congratulations, I mean, you have cleared the paper, assuming this, brother, now prepare for the race.

[00:42:40]What is area πr²? And the whole world must know the value of pi.

[00:42:43]Still, I will tell you 22/7 or 3.14. Sometimes if you say it approximately, then it's fine brother. Now what is area πr² perimeter and in this, son, listen carefully. Sometimes a wheel completes one revolution. Sometimes a round wheel completes one revolution. Then it checks its circumference. Tell me about that, son. We are asked the total number of revolutions.

[00:43:17]What is the total number of revolutions in the paper? Son, total distance divided by 2πr. Total distance divided by 2πr means the distance covered in one revolution. Son, what does 2πr mean?

[00:43:25]Distance covered in one revolution. I will write here what is the meaning of 2πr? What is the meaning of 2πr? The distance of one round.

[00:43:33]Brother. So these questions also come in many papers.

[00:43:38]Vijay Army lover is one of mine.

[00:43:44]Show the question. Get me the question.

[00:43:47]Mine is on the 4th, sir. Congratulations to you too son. Best of luck. No congratulations. The total number of cycles becomes the total distance b 2πr.

[00:44:00]Now let's come to the question. The radius of the circle is seven. Look son, some people are saying, Sir, I have just made you memorize the formulas. What have you made me remember? The questions have been asked on formula basis.

[00:44:11]Now tomorrow's class will be of mixed questions of 2D 3D, right son? Then we will read some questions there once again. Isn't it? Let go. The radius of a circle is seven.

[00:44:22]What will be its area? So tell me the radius of the circle, son. This is the radius and this is seven, so is πr² the area or not, then the value of π is 22 / 7 * r r 7 * 7 22 * ​​7 = 100 54 and for circle questions, let me tell you an interesting thing, son, you know, check by subtracting 11 from seven, why from seven, son, check by subtracting from seven whether it is subtracting or not and whether it is a multiple of 11 or not, then tell me, is this subtracting from seven, this is not subtracting brother, 7 8 56 okay, 7 8 56 56 how much will be left, son, 5 7 8 56, this is subtracting and this is subtracting okay, now see, it is subtracting from 11, 11 * 5 = 55 okay, six is ​​left, brother, two is subtracting, then you will get stuck, what else is there, yes, complete it, by the way, radius is seven, so memorize it, area is 154, radius is seven, so area is 154 Come on tell me if the radius of its circle is 14 then what will be the circumference what we call the perimeter tell me quickly Guru ji salute from the land of Chambal Guru ji I also salute you from the land of Chambal brother a million salutes to you too Chambal is our life brother okay our now some people say friend you know I have visited Delhi once brother no one will give me a room friend okay as soon as Morena is seen on Aadhar card and they don't give me a room brother what are these things they will feel pricked brother it is a different matter if I say I am not scared yes I am not scared that I am not scared of anyone it does not mean that I am a useless man you will not find a man like Chambal the most wonderful man the best man is from Chambal itself okay he gives his life for a matter but the public brother the world wants that he should just give his life or take it or not and this is not in the blood of Chambal brother Chambal has always been a stronghold of revenge brother we are satisfied after taking revenge we neither fear nor bow down to anyone.

[00:46:22]It's in our blood, brother.

[00:46:24]In what? It is in our blood.

[00:46:28]So brother is the radius of a circle. 2πr circumference is asked. 2πr. What is circumference? 2πr so the value of 2π is 22 / 7 * r 14.

[00:46:36]Cut it by two. Two sorry will cut it by two.

[00:46:39]22/7 right? Will cut it by seven. 7 2 and 22 44 2ni 88 how much did it come to? 88 Come on brother, half circle, which circle? Half circle. So son, what is half a circle? Listen, son, when the whole circle is πr², then what will be the half circle?

[00:47:06]1/2 πr². So the area of ​​the whole circle is πr².

[00:47:09]So that of the half circle is 1/2 πr². Now tell me son, what was the circumference of the whole circle? 2πr.

[00:47:16]What was the circumference of the whole circle? Tell me son, how much was 2πr? 2πr then what will be the radius of half circle? Half. But son, see what is circumference? Listen here son. What is circumference? Measurement of weight. What happens? Speak son.

[00:47:27]Now I will measure its weight. I will make it half a circle, son. So the circumference will be reduced to half. As if this circumference has become half. How was it? Half. But tell me son, as soon as I did it in half, it came out, right?

[00:47:37]So what do you call this? Diameter. And what is diameter? twice the radius.

[00:47:41]So what's added to the 2pr as well? 2r. This is cut. Tell me son. If I take the common from here, what will be left inside? What is the value of π + 2 and π? 22 / 7 and 7 * 2 = 14 How much will 22 become? 36/7 So you just remember this directly. Don't miss this.

[00:47:58]Why should you remember him directly? I write this, what is perimeter? What is r * 36 / 7? Perimeter r * 36 / 7 Question two sir. Okay son, I will just ask you the question. Isn't it? Let's go to the question. If the radius of a semicircle is seven, what will be its area brother? What will be the area?

[00:48:27]1/2 π r² cut off seven by seven. 11 is subtracted from two so it becomes 11 77 brother.

[00:48:47]Okay, you show me one quickly.

[00:48:51]7 cm What will be the total perimeter of the semicircle of radius?

[00:48:58]7 cm What will be the total perimeter of the semicircle of radius?

[00:49:05]So tell me what is the perimeter? r * 36 / 7 is the perimeter. Madam, I got your formula proved, r * 36 / 7. Now you got 7 subtracted from 7, right? Well, what did I do? r is this, yes, I am sorry, 7 * r. See, this was the perimeter, r * 36 / 7. So what is the value of r * r. 7 subtracted from 7, how much did it come out to be, 36, it is very simple and straightforward brother, isn't it, it is very simple and straightforward, it came out to be 36, brother Rahul, very good. Guru ji, you are from Murnath.

[00:49:38]Yes brother, Ajay, I am from Morena. Where from? I am from Morena, brother. Come on Ajay, Ajay, I am from Morena. If the diameter of the semicircle is 14, then find its area quickly. If the diameter is 14 then tell me the area my friend.

[00:49:57]If the diameter of the semicircle is 14 then find its area.

[00:50:03]So tell me son, what is the diameter of the semicircle? twice the radius. So if 2r = 14 then what will be r? Seven.

[00:50:12]What is brother Vyas? The diameter is twice the radius.

[00:50:15]If the diameter is 14 then the radius will be half.

[00:50:17]Straight talk will be seven. Now if the radius is seven then tell me the area of ​​the semicircle.

[00:50:21]So 1/2 22 / 7 * r is 14 sorry how much? There are only seven.

[00:50:29]Tell me it will be cut from seven. So how much will you get if you subtract two? 11 Okay. What happened?

[00:50:37]What did I do? The diameter of 1/2 semicircle is 14, so I asked the area. The value of 1/2 pi is 22 / 7 * r, seven is subtracted from 7, r is square, yes, so 11 77 square means r was not written once, hello sir ji Govind Sharma, hello brother Govind Bhaiya, hello brother, okay brother, you have two questions left. The radius of each wheel is 35.

[00:51:17]How many rounds will it take to walk 110 meters? So tell me the total number of rounds my friend.

[00:51:24]What is the total number of rounds brother? total distance.

[00:51:27]What is the total distance? What is the value of 2πr 2π divided by 110, i.e., the distance covered in one revolution, i.e., 22 / 7 * r? 7 35 so 7 * 5 and 22 * ​​5 = 110, if 110 is deducted then 1/2 means what rounding will it take? Half good, there's nothing wrong with that.

[00:51:43]Okay yes, where is this son in one meter? Tell me in meters, to convert 1 meter into centimeters, multiply it by 100 and then multiply it by 100 again. If you take this, how much will it be? What will 50 revolve around? 50 brother. How many rounds will it take?

[00:52:05]Brother, can you please solve one question for me quickly?

[00:52:22]Sir, please one poem. No matter how many branded clothes you wear, my friend. No matter how many branded clothes you wear, my friend. But the pleasure that the army uniform gives, no one else gives it, brother.

[00:52:37]Everything fails in front of him, brother.

[00:52:40]Okay, here is a question brother, so Vijay Bhaav, I bless you completely brother, you worked very hard, you put in all your strength, in one month we worked hard with all our heart, we will do it again, I am bringing a complete marathon, the entire day 's maths class will be yours, from the complete number system to the complete mensuration, there will be a continuous class of 4-5 hours in which I will make you complete maths, brother, stay firm, we will meet in the next episode, till then Jai Hind, Vande Mataram, Bharat Mata ki Jai, thank you so much ji