Plane Figures

Incircle, or Inscribed Circle, of a Polygon

A circle that is contained inside a polygon and is tangent to each side of the polygon.

Properties

All triangles andregular polygons have inscribed circles (incircles). The centre of a circle inscribed in a triangle is the point where the interior angle bisectors of the triangle meet. The centre of a circle inscribed in a regular polygon is the point where the perpendicular bisectors of the sides of the polygon meet.

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