Question

Which one of the following is a true statement about a circle inscribed in a regular polygon?

A. The area of the circle is equal to the area of the polygon.
B. The sides of the polygon are chords of the circle.
C. The vertices of the polygon are on the circumference of the circle.
D. The sides of the polygon are tangents of the circle.

Answer 1

Given that a circle is inscribed in a regular polygon, it is true that the sides of the polygons are tangents of the circle. The area of the circle is always less than the area of the polygon. When the polygon is inscribed in the circle, then the sides of the polygon are chords of the circle and the vertices of the polygon are on the circumference of the circle. Answer is D.