# Difference between revisions of "Circumradius"

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− | The '''circumradius''' of a [[cyclic]] [[polygon]] is the radius of the cirumscribed circle of that polygon. For a triangle, it is the measure of the [[radius]] of the [[circle]] that [[ | + | The '''circumradius''' of a [[cyclic]] [[polygon]] is the radius of the cirumscribed circle of that polygon. For a triangle, it is the measure of the [[radius]] of the [[circle]] that [[circumscribe]]s the triangle. Since every triangle is [[cyclic]], every triangle has a circumscribed circle, or a [[circumcircle]]. |

==Formula for a Triangle== | ==Formula for a Triangle== | ||

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==See also== | ==See also== | ||

− | * [[ | + | * [[Inradius]] |

− | * [[ | + | * [[Semiperimeter]] |

## Revision as of 13:19, 11 July 2007

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

The **circumradius** of a cyclic polygon is the radius of the cirumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle. Since every triangle is cyclic, every triangle has a circumscribed circle, or a circumcircle.

## Formula for a Triangle

Let and denote the triangle's three sides, and let denote the area of the triangle. Then, the measure of the of the circumradius of the triangle is simply