Answer:
[tex](x-3)^2 + (y+2)^2 = 81[/tex]
Step-by-step explanation:
Center of the circle = (3, -2)
therefore h = 3, k = - 2
Radius (r) = 9
Equation of circle in center radius form is given as:
[tex](x-h)^2 + (y-k)^2 = r^2\\(x- 3)^2+ \{y-(-2)\}^2 = 9^2\\\huge\red{\boxed{(x-3)^2 + (y+2)^2 = 81}}\\this\: is \:the \:required\: equation\: of\: the\: circle.[/tex]