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: 10

Answer

9$ \pi$ cm

Work Step by Step

CD is the minor arc of the circle We need to find out the length of CD 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$\pi$ * 12 = 24$\pi$ cm given m =135$^{\circ}$ Therefore lCD = $\frac{m}{360}$ * c = $\frac{135}{360}$ * 24$\pi$ =9$ \pi$ cm
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