A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tenth of an inch.

Question

asked Apr 10, 2020 42.6k views

1 Answer

Combinu · Answer 1 · 2020-04-17T11:36:02+0000

Answer:

25.12 inches

Explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by
$2\pi * r* (central\ angle)/(360)$

$=(2* \pi * 12* 120)/(360)=25.12inches$

So the length of the arc will be 25.12 inch