Answer:
(x - 1)^2 + (y - 0.5)^2 = 25.
Explanation:
We need to calculate the radius and the coordinates of the center of the circle.
The center is at the midpoint of the diameter = (-1 + 3)/2 , (2+-1)/2
= (1, 0.5).
The radius = 1/2 * diameter = 1/2 * √[ (-1-3)^2 + (2 - -1)^2 ]
r = √25/2 = 2.5
r^2 = 2.5^2 = 6.25.
The general form of the equation is
(x - a)^2 + (y -b)^2 = r^2 where (a,b) is the center and r = the radius.
So the required equation is:
(x - 1)^2 + (y - 0.5)^2 = 6.25.