Question

what is the general form of the equation of the given circle with its center at A

Answer 1

General form of circle with center at C(a,b) and radius r is

(x-a)^2 + (y-b)^2 = r^2.  Here,

(x-(-3))^2 + (y-12)^2 = 5^2, or    (x+3)^2 + (y-12)^2 = 25