Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 6 - Review Exercises - Page 319: 3

Answer

y=$\sqrt {41}$$\approx$6.4

Work Step by Step

Let x represent the distance from the chord to the center of the circle with a radius of 13 inches. Let y represent the radius of the other circle. x$^2$=13$^2$-5$^2$ x$^2$=169-25 x$^2$=144 x=12 16-12=4 y$^2$=4$^2$+5$^2$ y$^2$=16+25 y$^2$=41 y=$\sqrt 41$$\approx$6.4
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