# Definition:Circumradius

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## Definition

### Polygon

The **circumradius** of a polygon is the radius of the circle inside which the polygon can be inscribed, if such a circle exists.

### Polyhedron

The **circumradius** of a polyhedron is the radius of the sphere inside which the polyhedron can be inscribed, if such a sphere exists.

## Also known as

Some sources hyphenate: **circum-radius**.