Final answer:
The center of the circle is (-6, 3) and the radius is 6 units, derived from comparing the given equation to the standard form of a circle's equation.
Step-by-step explanation:
The equation provided (x+6)²+(y-3)²=36 represents a circle in standard form. The general form for a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
For the given equation, we compare it to the general form and can see that the center (h, k) of the circle is (-6, 3) and the square of the radius r² is 36. Therefore, the radius r is 6, which is the square root of 36.