Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises - Page 574: 24

Answer

$$A = 3,001,500\ mi^2$$

Work Step by Step

We first find the area of each hurricane. Assuming them to be approximately circular, we find: Sandy: $A= \pi(1000 \ mi )^2 \\ A = 3,140,000 \ mi^2$ Katrina: $A= \pi (210\ mi)^2 \\ A = 138,500 \ mi^2$ Thus, the difference to the nearest 100 square miles is: $$ A= 3,140,000 - 138,500 \\ A = 3,001,500\ mi^2$$
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