Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX D - Trigonometry - D Exercises: 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 the given values and simplify: $s=\frac{2\pi}{5}(10)=4\pi$ centimeters.
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