Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.6 - Radical Equations - Exercise Set: 44

Answer

$A=4\pi{r^2}$

Work Step by Step

Square both sides to obtain: $r^2=\dfrac{A}{4\pi}$ Multiply $4\pi$ on both sides to obtain: $\require{cancel} 4\pi \cdot r^2 = \dfrac{A}{4\pi} \cdot 4\pi \\4\pi{r^2} = \dfrac{A}{\cancel{4\pi}} \cdot \cancel{4\pi} \\4\pi{r^2} = A$
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