The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of its sides. This point is equidistant from all three vertices of the triangle. It lies inside the triangle if the triangle is acute, on the triangle itself if the triangle is right-angled, and outside the triangle if the triangle is obtuse. The distance between the circumcenter and any vertex of the triangle is called its circumradius, and it is the same for all three vertices. The circumcenter is also the center of the circumcircle, which is a circle that passes through all three vertices of the triangle.
