Unit Circle Doo-Wop Song | x² + y² = 1 Explained

本站添加: 2026-06-03

[00:00:01][music] >> Unit [music] circle clean and right.

[00:00:10]Center zero, radius one drawn [music] right. Round and steady, [singing] smooth and true. [music] Every point has work to do. Center sits [music] where axes meet. Middle point balanced and neat. Left and [music] right, above below. From [singing] that center all points go. Radius one from center out.

[00:00:38][music] Same short distance [singing] all about.

[00:00:43]Every point around the ring [music] keeps that radius as the thing. Pick a point, [music] call it X and Y. X goes sideways, [music] Y goes high. [singing] Side and height together run back to radius [singing] number one.

[00:01:04]Side squared, height [music] squared, add the pair. Radius squared is waiting there. [singing] Since the radius equals one, >> [music] >> X squared plus Y squared [singing] equals one.

[00:01:22]>> [music] >> Four key [singing] points upon the line.

[00:01:26]Right, left, top, bottom [music] shine.

[00:01:29]One zero, [singing] negative one zero, zero [music] one zero, negative [singing] one. Flip it left, flip it [music] right. Same round circle, same clean side. Across each [music] axis points agree.

[00:01:48]Perfect mirror symmetry. [music] Upper half and lower [singing] half.

[00:01:55]Same round path, [music] one circle graph.

[00:01:59]Top [singing] is over, bottom under, one full circle split [music] asunder.

[00:02:07]Every point [singing] around a ring [music] fits the same exact [singing] thing.

[00:02:14]Side and height squared and done, [music] x squared plus i squared [singing] equals one.

[00:02:25]Center [music and singing] zero, radius one, full unit circle [music] cleanly spun. [singing] One circle, endless points [music] begun, all on x squared [singing] plus i squared [music] equals one.

[00:02:44]>> [music] [music]