Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - Page 274: 32

Answer

$\displaystyle \frac{1}{2}\pi r^{2}$

Work Step by Step

Using the same sketch as in the previous exercise, we conclude that, by replacing 49=$7^2$ with $r^{2}$ in the expression for f(x), and the bounds from $-r $ to $r$, we would have a semicircle of radius r. So, $A=\displaystyle \frac{1}{2}\pi r^{2}$ $A=\displaystyle \int_{-r}^{r}\sqrt{r^{2}-x^{2}}dx=\frac{1}{2}\pi r^{2}$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.