Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - Summary Exercises - Perimeter, Circumference and Area - Page 578: 19

Answer

$\approx 14.6~feet$ Bonus: $361.6$ revolutions/mile

Work Step by Step

We know that the circumference of a circle is given by the formula: $Circumference=2\pi~radius$ $C=2\pi r$ To find the length traveled during one revolution, we simply find the circumference: $C=2\pi 2.33\approx 14.639\approx 14.6 feet$ Bonus question: We convert 1 mile to feet: $1~mile=5280~feet$ We find out how many revolutions this equals by dividing by the circumference: $5280/14.6=361.6$ revolutions for 1 mile
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