Circle O shown below has an are of length 47 inches subtended by an angle of 102°.Find the length of the radius, x, to the nearest tenth of an inch.

Ryantxr asked May 24, 2023

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Ryantxr asked May 24, 2023

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23 votes

We will have the following:

$\begin{gathered} 47=(102)/(360)\ast2\pi(x)\Rightarrow\pi(x)=(1410)/(17) \\ \\ \Rightarrow x=(1410)/(17\pi)\Rightarrow x\approx26.4 \end{gathered}$

So, the radius is approximately 26.4 inches.

Julien Hoarau answered May 29, 2023

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