Answer
Explanation
Given:
radius = 8
central angle =172°
To determine the area of the sector, we use the formula:
[tex]A=\frac{central\text{ angle}\degree}{360\degree}(\pi)r^2[/tex]where:
central angle =172°
r=radius = 8
A=Area
We plug in what we know:
[tex]\begin{gathered} A=\frac{central\text{ angle}\operatorname{\degree}}{360\operatorname{\degree}}(\pi)r^2 \\ =\frac{172\degree}{360\degree}(\pi)(8)^2 \\ Simplify \\ A=96.06\text{ square units} \end{gathered}[/tex]Therefore, the area of the sector is 96.06 square units.
