Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.1 An Overview Of The Area Problem - Exercises Set 4.1: 15

Answer

False.

Work Step by Step

A polygon with "infinite sides" is technically a circle. The area of a circle with a radius of 2 is given by $A=\pi r^{2}$, or $\pi (2^{2})=4 \pi$, which is not equal to $2 \pi$.
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