Answer:
(x-10)^2 + (y+6)^2 = 36
Explanation:
The equation for a circle in standard form is
(x-h)^2 +(y-k)^2 = r^2
where (h,k) is the center and r is the radius
Given center (10, -6), r = 6 we can substitute in
(x-10)^2 + (y--6)^2 = r^2
(x-10)^2 + (y+6)^2 = 6^2
(x-10)^2 + (y+6)^2 = 36