# Definition:Incircle of Triangle

## Definition

The incircle of a triangle is the circle tangent to each side of the triangle.

This circle is said to be inscribed in the triangle.

### Incenter

The center of an incircle of a triangle is called an incenter of the triangle.

A radius of an incircle of a triangle is called an inradius of the triangle.

In the above diagram, $r$ is an inradius.

## Also see

• Results about incircles of triangles can be found here.