Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix C - Graphs of Second-Degree Equations - C Exercises: 3

Answer

$x^{2}+y^{2}=65$

Work Step by Step

An equation of the circle with center $(h,k)$ and radius $r$ is given as: $(x-h)^{2}+(y-k)^{2}=r^{2}$ Given: center,$(h,k)=(0,0)$ and $(x,y)=(4,7)$ Then $(4-0)^{2}+(7-0)^{2}=r^{2}$ $r^{2}=65$ Hence, $x^{2}+y^{2}=65$
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