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Slothworks · Answer 1 · 2023-09-19T08:59:18+0000

Solution:

Given a circle of center P;

Where

$\begin{gathered} m\angle APB=79\degree \\ radius,\text{ }r=7\text{ cm} \end{gathered}$

To find the length of arc, the formula is

$\begin{gathered} Arc\text{ }length=(\theta)/(360\degree)*2\pi r \\ Where \\ \vartheta=m\angle APB=79\degree \end{gathered}$

Substitute the values of the variables into the formula above

$\begin{gathered} Arc\text{ l}ength=\frac{\theta}{360\operatorname{\degree}}*2\pi r \\ Arc\text{ l}ength=(79\degree)/(360\degree)*2*\pi*7=9.65167=9.7\text{ cm \lparen nearest tenth\rparen} \\ Arc\text{ l}ength=9.7\text{ cm \lparen nearest tenth\rparen} \end{gathered}$

Hence, the answer is option d

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