Answer:
(x - 9)^2 + (y + 11)^2 = 25.
Explanation:
First find the radius which is the distance between the center and the point on the circumference:
Radius = √ [( -15 - (-11))^2 + (12 - 9)^2)]
= √(16 + 9)
= 5.
The equation of a circle can be written as:
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the centre and r is the radius.
So here we have:
(x - 9)^2 + (y + 11)^2 = 5^2.