Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 76

Answer

Radius of the circle is 6 inches.

Work Step by Step

Area of circle is $ A =πr^2$ where r is the radius. It is given the Area (A) of the circle is $36π$ square inches. $36π= πr^2$ Step-1: Divide both sides by $π$ $\frac{36π}{π}=r^2$ $36=r^2$ Step-2: Use the square root property $±\sqrt36=r$ $±6=r$ Since radius of a circle cannot be negative, radius is 6 inches.
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