Answer
$$A =\sqrt{\frac{r}{\pi}}$$
Work Step by Step
Finding the inverse by switching the dependent and independent variables, we find:
$$ r = \pi A^2 \\ A =\sqrt{\frac{r}{\pi}}$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Exercises and Problems - Page 102: 25
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