Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix D - Trigonometry - D Exercises - Page A32: 14

Answer

$4\pi$ centimeters

Work Step by Step

We use the formula $s=θr$ $θ$ must be in radians. It is given in degrees. We convert from radians to degrees: $72°\times\frac{\pi}{180}=\frac{2\pi}{5}$ Plug in given values and simplify: $s=\frac{2\pi}{5}(10)=4\pi$ centimeters
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