Circumradius

Revision as of 20:04, 8 July 2007 by Chris_bayhill (talk | contribs) (Formula)

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The circumradius of a triangle 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