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?8BI91012Save and Exit

Answer 1

Answer: 9

Step-by-step explanation:

In a circle, all central angles would add up to 360° . So, the formula to be used:

n = 360°/ central angle

where: n = the number of sides

Given:

central angle= 40°

We plug in what we know.

`\begin{gathered} n=\frac{360}{\text{central angle}} \\ =(360)/(40) \\ \text{Calculate} \\ n=9 \end{gathered}`

Therefore, the number of sides of a regular polygon drawn in a circle is 9.