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

Answer:

25.12 inches

Step-by-step 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 $2\pi \times r\times \frac{central\ angle}{360}$

$=\frac{2\times \pi \times 12\times 120}{360}=25.12inches$

So the length of the arc will be 25.12 inch