Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - 7.3 Radians and Arc Length - Exercises and Problems for Section 7.3 - Exercises and Problems - Page 284: 37


$16$ inches

Work Step by Step

Since $s=r\theta$ for an arc length $s$, use values $\theta = 2 \, \textrm{rad.}$ and $r=8 \, \textrm{in.}$ to get $$s=(2 \, \textrm{rad.})(8 \, \textrm{in.})=16 \, \textrm{in.}$$
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