Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.9 - Distance and Midpoint Formulas; Circles - Exercise Set: 31

Answer

$x^2+y^2=49$

Work Step by Step

RECALL: The standard equation of a circle whose center is at $(h, k)$ and has a radius of $r$ units is: $(x-h)^2 + (y-k)^2 = r^2$ The given circle has its center at $(0, 0)$ and a radius of 7 units. Thus, the standard form of the circle's equation is: $(x-0)^2+(y-0)^2=7^2 \\x^2+y^2=49$
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