Question

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

8
9
10
12

Answer 1

Each central angle equals 360° divided by the number of sides n. So 360°/n = 40°, hence n = 360/40 = 9.