Circumcircle

A circumcircle is a circle that passes through all three vertices (corners) of a triangle. The center of this circle, called the circumcenter, is equidistant from each vertex. Depending on the triangle's shape, the circumcenter can be inside, outside, or on the triangle. The concept helps in understanding properties like symmetry and distances within the triangle. Geometrically, the circumcircle provides a way to visualize how a circle can encompass the entire triangle while touching all its corners, serving as a fundamental element in triangle and circle geometry.