Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 373: 16

Answer

radius = 4.23 in diameter = 8.470 in

Work Step by Step

Given the area of the circle = 56.35 $in^{2}$ to find the approximate lengths of the radius and the diameter of a circle The area A of a circle whose radius has length r is given by A = $\pi r^{2}$ 56.35 = $\pi r^{2}$ $r^{2}$ = $\frac{56.35}{3.14}$ r = $\sqrt 17.94$ = 4.23 in The radius of the circle r = 4.23 in The diameter of the circle = 2 * r = 2 * 4.23 = 8.470 in
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