Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises: 30

Answer

The total area covered by the count is $= 300,262.5$ mile$^{2}$
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Work Step by Step

1. Find the area of the circles Let $A =$ area of the circles (Note: Radius $= (diameter \div 2) = (15 \div 2) = 7.5$ miles) $A = \pi r^{2}$ $A = 3.14 \times (7.5^{2}$) $A = 3.14 \times56.25$ $A = 176.625$ mile$^{2}$ 2. Multiply the area of the circle by the number of circular areas counted Let $C =$ total area covered by the count $C = A \times 1700$ $C = 176.625 \times 1700$ $C = 300,262.5$ mile$^{2}$
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