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Find the radius of a circle if a central angle of π intercepts an arc of 32 inches. Round to the nearest tenth.

a. 3.1 in.
b. 10.2 in.
c. 100.5 in.

2 Answers

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User Angus Forbes
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Answer: b. 10.2 in.

Explanation:

We know that the formula to calculate the length of arc is given by :-


l=\theta* r

Given : The central angle :
\theta=\pi

The length of arc :
l=32\text{ inches}


\Rightarrow32=\pi* r\\\\\Rightarrow\ r=(32)/(\pi)=10.18591635\approx10.2\text{inches}

Hence, the radius of the circle =10.2 inches.

User Parakh
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8.7k points

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