Answer
C
Work Step by Step
Since the center is at the origin, we use the distance formula to find that the radius must be:
$$\sqrt{\left(4-0\right)^2+\left(-6-0\right)^2} = \sqrt{52}$$
Thus, it follows:
$$x^2+y^2=r^2 $$
$$ x^2+y^2=52$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 9 Quadratic Relations and Conic Sections - 9.3 Graph and Write Equations of Circles - 9.3 Exercises - Skill Practice - Page 630: 43
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