# 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 is 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 also the center of the polygon.