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.

Question

asked Dec 28, 2019 125k views

2 Answers

Parakh · Answer 1 · 2020-01-03T00:41:39+0000

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.