College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.6 - Variation - 3.6 Exercises - Page 365: 1

Answer

$C$ varies directly as $r$, and the constant of this variation is $2\pi$

Work Step by Step

The general equation for direct variation is $y=kx$, where k is the constant of the variation. Here, $C=2\pi r$, means that $C$ varies directly with $r$. The equation for direct variation here, is $C=k\times r$ As $2\pi$ is constant, this will be the constant of the variation. Therefore the circumference of a circle varies directly with its radius, and the constant of this variation is $2\pi$.
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