Answer:
(x - 6)² + (y + 3)² = 81
Explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (6, - 3 ) and r = 9 , then
(x - 6)² + (y - (- 3) )² = 9² , that is
(x - 6)² + (y + 3)² = 81