Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.1 Radian Measures - 6.1 Exercises - Page 576: 92

Answer

$4\pi\ in$

Work Step by Step

1. The minute hand (radius $r=3\ in$) would rotate an angle of $360^\circ$ or $2\pi$ in one hour. 2. In $40\ min$ or $\frac{2}{3}\ hr$, the angle would be $\theta=\frac{4\pi}{3}$ 3. The distance traveled by the tip of the minute hand would be $L=r\theta=4\pi\ in$
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