The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Analytic Geometry Triangle Circumcircle of a Triangle  
See also: Altitudes of a Triangle, Incircle and Angle Bisectors of a Triangle, Excircle of a Triangle  
Search the VIAS Library  Index  
Circumcircle of a TriangleA triangle's three perpendicular bisectors meet at a common point M_{c}, 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 r_{cc} 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 M_{c} and the intersection point with the corresponding triangle side) are defined by the following equations:


Home Analytic Geometry Triangle Circumcircle of a Triangle 