Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Review Exercises - Page 129: 31b

Answer

$2\pi$ inches

Work Step by Step

The distance travelled by the tip of the hour hand refers to the arc length $s$. Using the arc length formula $s=r\theta$, we substitute $r=6$ inches and $\theta=\frac{\pi}{3}$ into the formula: $s=r\theta$ $s=6\times \frac{\pi}{3}$ $s=2\pi$ inches
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