#### Answer

l $\approx$ 7.33 in

#### Work Step by Step

The central angle corresponding to a circular brake shoe
measures 60°
We need to find out the length of curved surface of the brake shoe if the length of radius is 7 in.
In a circle whose circumference is c, the length l of an arc whose degree measure is m is given by l =$\frac{m}{360}$ * c
c = 2*$\pi$ * r
=2 * $\frac{22}{7}$ * 7
= 44 in
m=60°
l=$\frac{60}{360}$ * 44
= 7.33 in