Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 374: 41

Answer

$\approx$ 14.43 in.

Work Step by Step

The radius of each gear = 4 in The length of the chain = 2 * center distance + 2 * $\frac{circumference of the gear}{2}$ 54 in= 2 * center distance+ 2 * $\frac{2\pi r}{2}$ 54 = 2 * center distance+ 2$\pi$* 4 54 - 8$\pi$ = 2* center distance center distnce = 27 - 4$\pi$ center distance $\approx$ 14.43 in.
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