Answer
$(x+8)^2+(y+5)^2=5$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Center-Radius Form of the equation of circles to get the equation with the given center, $C(
-8,-5
),$ and the given radius, $r=
\sqrt{5}
.$
$\bf{\text{Solution Details:}}$
With the given center, then $h=
-8
$ and $k=
-5
.$ Using the Center-Radius Form of the equation of circles which is given by $(x-h)^2+(y-k)^2=r^2, $ the equation of the circle is
\begin{array}{l}\require{cancel}
(x-(-8))^2+(y-(-5))^2=(\sqrt{5})^2
\\\\
(x+8)^2+(y+5)^2=5
.\end{array}
