Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Section 10.1 - The Parabola and the Circle - Exercise Set - Page 610: 90

Answer

The radius is $\sqrt {10}$.

Work Step by Step

Please see the graph of the circle. The maximum $y$ value is $.162$, and the minimum $y$ value is $-6.162$. If we add the absolute values of the minimum and maximum, we get $6.326$. This is the diameter of the circle. If we divide this by 2 (to get the radius), we get 3.162. If we square this number, we get a result of 9.998 (or 10). Since we squared our result, we find that the radius is $\sqrt {10}$.
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