# Chapter 13 - Conic Sections - 13.1 Conic Sections: Parabolas and Circles - 13.1 Exercise Set - Page 854: 38

$(x+2)^2+(y-7)^2=20$

#### 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 $( -2,7 )$ and radius, $r= 2\sqrt{5} ,$ is \begin{array}{l}\require{cancel} (x-(-2))^2+(y-7)^2=\left( 2\sqrt{5} \right)^2 \\\\ (x+2)^2+(y-7)^2=4\cdot5 \\\\ (x+2)^2+(y-7)^2=20 .\end{array}

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