# Definition:Circumradius/Polygon

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## Definition

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

### Circumradius of Triangle

A radius of a circumcircle of a triangle is called a **circumradius of a triangle**.

In the above diagram, $R$ is a **circumradius**.

## Also known as

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