Trigonometry (10th Edition)

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

Chapter 3 - Review Exercises - Page 128: 17

Answer

$\pi$ inches

Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where $s$ is the length of the arc of a circle of radius $r$ and central angle $\theta$. Step 2: $r=2$ inches and the distance traveled by the tip of the minute hand in a particular duration denotes the arc length $s$. Step 3: Since 60 minutes denote $2\pi$ radians, 15 minutes represent $(\frac{15}{60}\times2\pi) = \frac{\pi}{2}$ radians. Step 4: Substituting the values in the equation, $s=(2)(\frac{\pi}{2})= \pi$ inches
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