Answer
$(x-7)^2+(y-3)^2=6$
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 $(
7,3
)$ and radius, $r=
\sqrt{6}
,$ is
\begin{array}{l}\require{cancel}
(x-7)^2+(y-3)^2=\left( \sqrt{6} \right)^2
\\\\
(x-7)^2+(y-3)^2=6
.\end{array}