Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 383: 9

Answer

$\frac{8}{3} \pi$ in

Work Step by Step

AB is the minor arc of the circle We need to find out the length of AB 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 Therefore for given circle c = 2$\pi$ r = 2$\pi$ * 8 = 16$\pi$ given m =60$^{\circ}$ Therefore lAB = $\frac{m}{360}$ * c = $\frac{60}{360}$ * 16$\pi$ =$\frac{8}{3} \pi$ in
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