Definition:Incircle of Triangle

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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.

Incircle.png


Incenter

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


Inradius

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