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