Geometry: Common Core (15th Edition)

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

Chapter 10 - Area - 10-8 Geometric Probability - Practice and Problem-Solving Exercises - Page 673: 39

Answer

$\dfrac{10 \pi}{200}$ or, $15.7 \%$

Work Step by Step

Area of the square is equal to $A=\dfrac{1}{2} (20)(20)=200 \ in.^2$ The probability $P$ is the ratio of the area of the circle and the area of the square: $P=\dfrac{\pi (\sqrt {10})^2}{200}=\dfrac{10 \pi}{200}$ or, $15.7 \%$
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