This video demonstrates how to construct a pentagon and construction block using precise measurements and geometric principles, including dividing measurements by 2 (44mm becomes 22mm), calculating angles by dividing 360° by 5 sides to get 72°, and using compass and ruler techniques to create accurate geometric shapes with specific dimensions.
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Pg. 29 English本站添加:
Hi guys. Right, so we're going to draw page 29.
Um we're going to start off >> [clears throat] >> with this circle. Right, so if you see you've been given two points there.
Um if we look at our circle, we can see there the measurement is 44 but with that little symbol. So that means we are dividing it then by two. So then it becomes 22.
Right, so 22 then from this bottom part, this bottom first one.
There.
And make a circle. All right, so our circle's done.
Remember not 44 because of the symbol, it means we divide it by two.
Right, >> [clears throat] >> so now what we need to do is we need to build this pentagon that is going around the circle. The way to do that is we have a measurement that's been given here.
So from this point there, it goes down 30 mm.
So I'm going to start with that first.
I'm going to >> [clears throat] >> take my triangle and everything cuz I want to work in a straight line here.
Right, I'm going to go down 10, 20, 30.
Right, so on 30 mils I'm going to make myself a mark.
Okay, so I've gone down, I've got my 30 mil mark. Now I have to do this bottom line of my pentagon. And the measurement I've been given is 44 mils. Right, so because it's in half, it means it'll be 22 to the left and 22 mm to the right.
So once again, I'm going to use my instruments to make sure that it is straight.
Right, so 22 to the left and 22 to the right. So that means 44 is there.
44 mils to zero. Right.
So there we have our line of 44 mm.
Okay, so now to do our lines going outwards.
Remember our formula because we want to do a pentagon, it goes around 360°.
It is divided by five sides, which give us then 72° that we work on. Okay, so we're only going to do this for the first two lines.
Going to use my protractor here. Right, this one I know it's making a shadow.
I mean here, a light. Right, so if you look at my protractor here, it's counting inwards. So, remember now I want 72°.
So, I'm going to count up. I don't want to go down because 72 is not going to go down to 60. It's going to be 70, 80, 90.
So, I'm going to count two lines in. Let me just get it lined up again. 71 and 72°.
Right, there's my first mark.
And then the same on this side.
I'm lining it up there. See again, it's counting upwards. So, it's 70, 80, 90.
So, it means I'm going to count in. 71, 72.
Okay, so there I have my two guidelines now to make my next two lines. Okay, so we've determined that this is 44 mils, which means every other single side must be 44 mm.
So, remember I can count from anywhere.
Um I'm going to use this guideline here.
And I'm going to count 44 mils. Right, so 10, 20, 30, 40, 44.
Same on this side.
Okay.
Make sure it's straight.
And 44.
Okay.
So, now [clears throat] we can take this away. They're no longer relevant. Okay.
So, to do our top part now, I'm going to do this the easy way for you.
We're going to take our compass again and we're going to put it on 44 mils, the same as all of the other lines. Okay.
So, we have 44.
Right. So, from the top of this one of this line, I'm going to make Wait.
Let's just make sure it's 44.
It's a bit off.
Going to redo.
Right. So, from here exactly there on the end I'm going to make a mark.
And the same on this side, I'm going to make a mark.
Okay.
See that all 44. Right.
So, now that I've determined where that is, I can just go now and connect it.
Going from there to the center there.
Oh, it's a bit off. It's fine.
And there.
Right. So, there I have my pentagon done.
Now, I need to do the outside of this thing. Uh the easiest way for this part is to build a construction block. You can see here I have a measurement of 88 mm. That is going to be the length of it and then the height 66 mm.
Okay. So, if I'm going to work on 88 So, um it'll be 44 to the left and 44 to the right. I can work on this bottom line I already have.
44 and I can put it on 88.
And I can just complete that line.
Okay.
So, then I've also determined I want to go up 66 mm.
Uh let me just get this straight. Right.
Make a light line. 10 20 30 40 50 60 66.
And then the same on this side.
10 20 30 40 50 60 66.
Okay. There I have that line.
And then I can just close.
Right. So, there I [clears throat] have the construction block to do that part.
Right. I'm going to go back to my compass again to do this top part here.
There's no height given to us, but we have the 28 mm there, which means we can now set our compass to 28 mm.
Right. So, 20 28.
And then from this center point here, I'm going to draw a full half circle touching the sides of this given line.
Right.
So, while we are busy with our compass, you can look at the corners here. They give us a radius of 11 mils. So, we can now set our compass to 11 mm.
Right.
So, what I'm going to do is I'm going to start in the bottom corner there. Okay?
In the bottom corner, I'm going to make a line this side and that side.
Going to go to the left.
Make a line there.
And there.
Right, now that I have these two I'm going to move my compass to that corner, that cross that I have created.
Make a Um make a line there. Sorry, it moved.
Okay, one there.
And then from this side There, we're going to do the same on the other side.
There.
And there. Okay. So now that I have the two crosses, I can then just put that in the center there and complete my bottom part.
Okay, from there going to go down and touch. Right.
So >> [sighs] >> basically that part is now done.
Uh I can actually go up and close this part at the top on the sides there.
Cuz we should determine what that measurement is.
Right, and then this line, this top one here, it's 28 mm, right? So that means it'll be 14 mm there. So 28 is here.
I'm going to just adjust my ruler so that it touches exactly on the circle here where 28 is and there where zero is.
Okay.
There I have my top line of 28 mm.
>> [clears throat] >> And now what I can do is I can just close it from that side to where it touches here.
Close it there.
Same with this side.
Close it there.
And then I can just finish it off.
And there you have it. Page 29 done and dusted.
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