Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 63

Answer

$r=\sqrt{\frac{A}{\pi}}$

Work Step by Step

To solve for r, isolate r on one side of the equation. $A=\pi r^2$ Divide both sides by $\pi$. $\frac{A}{\pi}=\frac{\pi r^2}{\pi}$ Simplify. $\frac{A}{\pi}=r^2$ Take the square root of each side. $\sqrt{\frac{A}{\pi}}=\sqrt{r^2}$ Simplify. $\sqrt{\frac{A}{\pi}}=r$
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