Difference between revisions of "Cyclic"
m (cyclic means polygon inscribed, not circumscribed) |
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| − | A [[polygon]] is '''cyclic''' if it can be [[ | + | A [[polygon]] is '''cyclic''' if it can be [[inscribe]]d in a [[circle]]. All [[triangle]]s and all [[regular polygon]]s 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. |
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| + | Because two different circles intersect in at most two points, any polygon can be inscribed in at most one circle. | ||
==See also== | ==See also== | ||
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* [[Circumscribe]] | * [[Circumscribe]] | ||
* [[Circumradius]] | * [[Circumradius]] | ||
* [[Polygon]] | * [[Polygon]] | ||
Revision as of 13:22, 11 July 2007
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.
