The standard equation of the circle is given by: (x-h) ^ 2 + (y-k) ^ 2 = r ^ 2 Where, h, k: coordinates of the center of the circle r: radius of the circle. We are looking for the radio now: (-2-2) ^ 2 + (0 + 3) ^ 2 = r ^ 2 (-4) ^ 2 + (3) ^ 2 = r ^ 2 16 + 9 = r ^ 2 25 = r ^ 2 5 = r Substituting: (x-2) ^ 2 + (y + 3) ^ 2 = 5 ^ 2 (x-2) ^ 2 + (y + 3) ^ 2 = 25 Answer: The standard form of the equation of a circle is: (x-2) ^ 2 + (y + 3) ^ 2 = 25
