Start with the standard equation of a circle with center at (h,k) and radius r:
(x-h)^2 + (y-k)^2 = r^2. Substitute -5 for h and 12 for k:
(x-0)^2 + (y-0)^2 = r^2
Next, we substitute -5 for x and 12 for y, with the objective of determining the value of r^2:
(-5-0)^2 + (12-0)^2 = r^2. Then 25 + 144 = 169 = r^2, and r = 13.
Thus, the answer choice "x2 + y2 = 169" is the correct one.
Important: Please use " ^ " to denote exponentiation: x^2 + y^2 = 169.
