Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.3 Formulas - 2.3 Exercise Set: 22

Answer

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

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $ A=\pi r^2 $ for $ r^2 ,$ use the properties of equality to isolate the variable. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the variable, the equation above is equivalent to \begin{array}{l}\require{cancel} A=\pi r^2 \\\\ \dfrac{A}{\pi}=\dfrac{\pi r^2}{\pi} \\\\ \dfrac{A}{\pi}=r^2 \\\\ r^2=\dfrac{A}{\pi} .\end{array}
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