Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.2 Arc Length and Speed - Preliminary Questions - Page 610: 6


$$4 \pi.$$

Work Step by Step

The surface will be a disk with raduis $r=2 $, so the area $A$ is $$A=\pi r^2=2^2 \pi=4 \pi.$$
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