Answer :

[tex](x+8)^2+(y-6)^2\text{ = 100}[/tex]

Here, we want to write the standard form of the equation of a circle

Mathematically, we have the standard form as;

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a,b) represents the coordinates of the center of the circle and r represents the radius

Thus, we have it that;

[tex]\begin{gathered} (x+8)^2+(y-6)^2=10^2 \\ (x+8)^2+(y-6)^2\text{ = 100} \end{gathered}[/tex]