Question

A circle has a radius of 17 in. Find the length s of the arc intercepted by a central angle of 0.7 radians.

Round your answer to the nearest tenth .

Answer 1

Given:

The radius of the circle is 17 in.

Central angle of intercepted arc is 0.7 radians.

To find:

The length s of the intercepted arc.

Solution:

The formula for the length of intercepted arc is:

$s=r\theta$

Where, r is the radius of the circle and $\theta$ is the central angle in radians.

Substituting $r=17,\ \theta =0.7$ in the above formula, we get

$s=17\times 0.7$

$s=11.9$

Therefore, the length of the intercepted arc is 11.9 inches.