Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - 10-6 Circles and Arcs - Practice and Problem-Solving Exercises - Page 655: 43

Answer

$183.3 \ ft$

Work Step by Step

Let $C$ be the circumference of a circle: $C=2 \pi r$ or, $C=\pi d~~~~(1)$ Here, $r$ represents radius and $d$ is diameter. We are given that $d= 7 \ in.$ So, $C= \pi (7)=7 \pi \ in.$ In feet, we have $C=7 \pi \ in. \times \dfrac{1 ft}{12 in.}=\dfrac{7 \pi}{12} \ ft$ In order to complete $100$ revolutions, the distance traveled by the hamster is: $D=\dfrac{7 \pi}{12} \ ft (100)=183.3 \ ft$
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