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In geometry, the circumcircle of a polygon is a circle which passes through all the vertices of a polygon. The center of this circle is called the circumcircle and its radius is called is called circumradius.
The inradius of a polygon is the radius of its incircle.
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The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed. Similarly, the circumradius of a polyhedron is the radius of a circumsphere touching each of the polyhedron's vertices, if such a sphere exists. Every triangle and every tetrahedron has a circumradius, but not all polygons or polyhedra do. However, regular polygons and regular polyhedra posses a circumradius.

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