Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - 10-6 Circles and Arcs - Practice and Problem-Solving Exercises - Page 656: 50

Answer

The circumference will be doubled when the radius is doubled.

Work Step by Step

Let $C$ be the circumference of a circle: $C=2 \pi r$ or, $C=\pi d$ Let us consider doubling the radius: $C_{new}=2\pi (2r)=2(2\pi r)=2C$ Therefore, we can find that the circumference will be doubled when the radius is doubled.
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