A circle with center at (h,k) and a radius of r has equation
[tex]\left(x−h\right)^2+(y−k)^2=r^2.[/tex]
In this case our circle equation can be written as:
[tex](x-(-6))^2+(y-9)^2=11^2[/tex]
So, we have: h= − 6 , k = 9 and r = 11. The answer is d. Center = ( - 6,9) and radius = 11.
