Circle (EntityTopic, 15)
From Hi.gher. Space
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<blockquote>[!x,!y] ⇒ [[line (object)|line]] of length (''r''cos(π''n''/2))</blockquote> | <blockquote>[!x,!y] ⇒ [[line (object)|line]] of length (''r''cos(π''n''/2))</blockquote> | ||
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{{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube}} | {{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube}} | ||
Revision as of 15:58, 17 June 2007
Geometry
A circle refers to the surface of a perfectly symmetrical planar object.
Equations
- Assumption: Circle is centered at the origin.
- Variables:
r ⇒ radius of circle
- All points (x, y) that lie on the surface of a circle will satisfy the following equation:
x2 + y2 = r2
- The hypervolumes of a circle are given by:
total edge length = 2πr
area = πr2
- The linear cross-sections (n) of a circle are:
[!x,!y] ⇒ line of length (rcos(πn/2))
