Definition:Incircle

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Definition

Let $P$ be a polygon.

Let $C$ be a circle which is inscribed within $P$.

Inscribe.png

Then $C$ is an incircle of $P$.


Incenter

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


Inradius

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

In the above diagram, $OG$ is an inradius of the polygon $ABCDEF$.


Also see