# Inscribed and Circumscribed Polygons

A combination of a polygon and a circle can be arranged in two possible ways and accordingly named as inscribed or circumscribed polygon.

## What is an Inscribed Polygon

An inscribed polygon is a polygon that has all its vertices on a circle. It is also known as ‘polygon in a circle’, as the polygon is found inscribed in a circle and the circle is found to be circumscribed around the polygon.

All regular polygons starting from an equilateral triangle, a square, a pentagon, or a hexagon can be inscribed in a circle. For regular polygons inscribed in a circle:

1. The center of the polygon is also the center of the circumscribed circle
2. The radius of the polygon is also the radius of the circumscribed circle
3. A perpendicular line drawn from the center to the midpoint of any side of the polygon is the apothem

## What is a Circumscribed Polygon

Also known as a tangential polygon, it is a polygon with vertices outside the circle, while its sides are tangent to the circle.