The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry.

Circumcircle of a Triangle

A triangle's three perpendicular bisectors meet at a common point Mc, which is the center of the circumcircle of the triangle. The circumcircle is a triangle's circumscribed circle that passes through each of the three vertices.

The radius of the circum circle rcc is given by

with A being the area of the triangle, and a, b, and c the lengths of the three sides.
The lengths of the perpendicular bisectors (the line segment between Mc and the intersection point with the corresponding triangle side) are defined by the following equations:

Last Update: 2010-12-06