Difference between revisions of "Circumradius"

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{{stub}}
 
{{stub}}
  
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]].
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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 [[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]]
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* [[Inradius]]
* [[semiperimeter]]
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* [[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 $a, b$ and $c$ denote the triangle's three sides, and let $A$ denote the area of the triangle. Then, the measure of the of the circumradius of the triangle is simply $\frac{abc}{4A}$

See also

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