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: 23

Answer

$\dfrac{24}{49}=48.98 \%$

Work Step by Step

The area is: $ \text{area of second largest circle-area of a second smallest circle}=\pi (5)^2-\pi(1)^2=24 \pi \ cm^2 $ Now, the total area is equal to the area of the largest circle $= \pi (7)^2=49 \pi \ cm^2$ The probability that the dart hits the blue or red region is the ratio of area of the blue and red region to the total area: P(dart hits either blue or red region)$=\dfrac{ 24\pi}{49 \pi}=\dfrac{24}{49}=48.98 \%$
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