Inscribed and Circumscribed Regular Polygons

Every triangle can be inscribed in some circle or we can say that every circle has an inscribed triangle. This circle is called [i]circumcircle[/i] or [i]circumscribed circle[/i].[br][br]Every triangle has an inscribed circle, called the [i]inscribed circle[/i] or [i]incircle[/i].[br][br]Not all polygons can be inscribed or circumscribed about a circle. However, every regular polygon with 3 or more sides has an inscribed circle, called its [i]incircle[/i], [br]and every regular polygon with 3 or more sides can be inscribed in some circle, called its [i]circumcircle[/i].[br][br]Drag the slider on the applet to verify this particular property of inscribed or circumscribed regular polygon. [br]Can you construct an inscribed or circumscribed circle of any regular polygon?
Inscribed and Circumscribed Regular Polygons

Information: Inscribed and Circumscribed Regular Polygons