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