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

Explanation:

Step1: Total central angle of circle

The total degrees around a circle is $360^\circ$.

Step2: Calculate number of sides

Divide total angle by one central angle.
$\text{Number of sides} = \frac{360^\circ}{40^\circ}$

Answer:

9