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Jamesharker · Answer 1 · 2023-11-08T17:59:23+0000

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Step-by-step explanation

Given:

radius = 8

central angle =172°

To determine the area of the sector, we use the formula:

$A=\frac{central\text{ angle}\degree}{360\degree}(\pi)r^2$

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.

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