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