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 672: 19

Answer

$55.6 \%$

Work Step by Step

The area is: $=\pi (3)^2- \pi (2)^2=5 \pi \ ft^2$ Now, the total area is equal to the area of the larger square$=\pi (3)^2=9 \pi \ ft^2$ The probability that the point lies in the shaded region is the ratio of area of the shaded region to the total area: P(point lies in shaded region)$=\dfrac{5 \pi}{9 \pi}=55.6 \%$
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