Circle (EntityTopic, 15)

From Hi.gher. Space

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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))

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