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
010
O 12

Answer 1

Answer: the answer is B 9.

Step-by-step explanation: it is show below.

Answer 2

9 sides

Explanation:

The formula for number of sides of a polygon with a given central angle

Number of sides = 360°/ central angle

In the above question, we were told that each of the central angles in the polygon ha a measure of 40°

Hence,

Number of sides = 360°/40°

9 sides.

Therefore, the number of sides that polygon in the above question has is 9 sides.