Answer
$c(x)=\frac{\pi x^2}{4}$
Work Step by Step
The area of the circle is $A=\pi r^2$
Substitute $r=\frac{x}{2}$:
$$A=\pi (\frac{x}{2})^2\\=\pi(\frac{x^2}{4})\\=\frac{\pi x^2}{4}$$
Thus, the area of the circle is $c(x)=\frac{\pi x^2}{4}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - Mixed Review of Problem Solving - Lessons 6.1-6.3 - Page 436: 1b
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