Answer:
[tex](x+5)^2+(y-2)^2=36[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius, thus:
[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36[/tex]
This means that our equation for the given circle is [tex](x+5)^2+(y-2)^2=36[/tex]
