Question

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.

Answer 1

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