Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 13 - Conic Sections - 13.1 Conic Sections: Parabolas and Circles - 13.1 Exercise Set: 40

Answer

$(x+7)^2+(y+2)^2=50$

Work Step by Step

Using $(x-h)^2+(y-k)^2=r^2$ or the Center-Radius form of the equation of circles, the equation of the circle with center $( -7,-2 )$ and radius, $r= 5\sqrt{2} ,$ is \begin{array}{l}\require{cancel} (x-(-7))^2+(y-(-2))^2=\left( 5\sqrt{2} \right)^2 \\\\ (x+7)^2+(y+2)^2=25\cdot2 \\\\ (x+7)^2+(y+2)^2=50 .\end{array}
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