(x-2)^2 + (y+3)^2 = 36, represents a circle in the standard form (x-h)^2 + (y-k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.
Comparing the equation to the standard form, we can see that the center of the circle is (2, -3) and the radius is the square root of 36, which is 6.
So, the center of the circle is at (2, -3) and the radius is 6 units.