Answer: 9
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.
[tex]\begin{gathered} n=\frac{360}{\text{central angle}} \\ =\frac{360}{40} \\ \text{Calculate} \\ n=9 \end{gathered}[/tex]Therefore, the number of sides of a regular polygon drawn in a circle is 9.
