AoPSWiki
Trying to get to the USAMO in 2010? Our AIME Problem Series can help you get there! Click here to enroll today!

Cyclic

From AoPSWiki

Revision as of 14:34, 6 November 2007 by 1=2 (Talk | contribs)
(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

This article is a stub. Help us out by expanding it.

A polygon is cyclic if it can be inscribed in a circle. All triangles and all regular polygons are cyclic. In a cyclic polygon, the circle in which it can be inscribed is called its circumcircle. The radius of this circle is known as the circumradius of the polygon.

Because two different circles intersect in at most two points, any polygon can be inscribed in at most one circle.


See also

Visit the AoPS Book Store.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us