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Oleksandr Skrypnyk · Answer 1 · 2023-06-28T18:43:49+0000

Problem statement: we have been given a task to find the area of the sector.

We are given some parameters:

$\begin{gathered} \text{central angle=170}^0 \\ \text{radius}=17\operatorname{mm} \\ \end{gathered}$

Method: We will apply the formula:

$\begin{gathered} A=(\theta)/(360)*\pi r^2 \\ \text{where} \\ \theta=\text{ central angle} \\ r=17\operatorname{mm} \\ A=\text{Area of the sector} \\ \pi=(22)/(7) \end{gathered}$

Thus, applying the formula

$A=428.7\operatorname{mm}^2$

The area of the sector is 428.7mm²

The answer is option 3

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