Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 373: 15

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
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