Why Is the Circumcenter Important?

One of several centers the triangle can have, the circumcenter is the point where the perpendicular bisectors of a triangle intersect. The circumcenter is also the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices.

What is special about the circumcenter?

The circumcenter of a polygon is the center of the circle that contains all the vertices of the polygon, if such a circle exists. For a triangle, it always has a unique circumcenter and thus unique circumcircle.

What is the meaning of Circumcentre of triangle?

: the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.