A regular decagon has ten equal sides and ten equal angles. When a regular decagon is drawn inside (inscribed in) a circle, the radii form equal angles at the center. Find the number of degrees in each angle at the center.
A) 20
B) 36
C) 45
D) 60

Question

Quizplus · Accepted Answer

The total degrees in a circle is 360 degrees. Since a regular decagon has 10 equal sides, and the radii form equal angles at the center, dividing 360 degrees by 10 gives each central angle as 36 degrees.

A Regular Decagon Has Ten Equal Sides and Ten Equal