Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 184: 60

Answer

$A=\frac{C^2}{4\pi}$

Work Step by Step

If the radius of the circle is r, then the circumference $C = 2\pi r$, giving $r=\frac{C}{2\pi}$, and the area is $A = \pi r^2=\pi (\frac{C}{2\pi})^2=\frac{C^2}{4\pi}$
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