Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises: 23

Answer

The point on the tire tread will move $\approx 91.4$ inches in one complete turn. The tire needs to make $\approx 693$ revolutions to travel 1 mile.

Work Step by Step

1. Find the circumference of the tire Let $C =$ circumference of the tire $C = \pi \times diameter$ $C = 3.14 \times 29.10$ in. $C = 91.374$ in. $C \approx 91.4$ in. Therefore the point on the tire tread will move $\approx 91.4$ inches in one complete turn. 2. Bonus Question a) Convert 1 mile into inches: $1$ mile $= 63,360$ inches b) Divide the number of inches by the answer in 1. $= \frac{63,360}{91.374}$ $= 693.413...$ revolutions $\approx 693$ revolutions
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