# Circumscribed and Inscribed Circle

Circumscribed Circle:

If a polygon is drawn in a circle so that every corner of the polygon lies on the circle, the polygon is called an inscribed polygon and the circle is called the circumscribed circle. In the figure, $O$ is the center of the polygon and $OF$ is the radius of the circumscribed circle and id denoted by $R$.

Inscribed Circle:

If a polygon is drawn outside a circle so that every side of the polygon touches the circle, the polygon is called the circumscribed polygon and the circle is called the inscribed circle. In the figure, $OG$ is the radius of the inscribed and is denoted by $r$.

If the polygon is regular then the center of the circle is called is also the center of the polygon.

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