Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5