College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Focus on Modeling - Modeling with Functions - Problems - Page 276: 9


The area of this circle can be expressed as: $r$ = $\sqrt \frac{A}{\pi}$, $r\gt0$

Work Step by Step

The area of a circle is given by the following formula: $A$ = $\pi$$r^{2}$ Now, we solve for $r$: First, divide both sides by $\pi$: $\frac{A}{\pi}$ = $r^{2}$ Then, we take the square root of r: $r$ = $\sqrt \frac{A}{\pi}$ Since we are talking about length, we can only use those values of $r$ that are positive. So we can express the function for the area of this circle in the following way: $r$ = $\sqrt \frac{A}{\pi}$, $r\gt0$
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