# Definition:Circumcircle of Triangle

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## Definition

The **circumcircle of a triangle** is the circle that passes through all three of the triangle's vertices.

This circle is said to circumscribe the triangle.

### Circumcenter

The center of a circumcircle of a triangle is called a **circumcenter of a triangle**.

### Circumradius

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

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

## Also see

- Results about
**circumcircles of triangles**can be found**here**.

## Sources

- 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**circumcircle**