Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3: 3

Answer

The arc should be $8.4in$ long.

Work Step by Step

$\theta = 80^\circ=\frac{80}{180}\pi=\frac{4}{9}\pi$ $D=12in$ $r=\frac{D}{2}=6in$ $s=r\theta = \frac{4}{9}\pi*6in\approx 8.4in$
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