Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Review Exercises - Page 135: 19


$12\pi$ 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, 3 hours represent $(3\times2\pi) = 6\pi$ radians. Step 4: Substituting the values in the equation, $s=(2)(6\pi)= 12\pi$ inches
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