Answer:
(X+1)^2 + (y+1/2)^2 = 225/4
Step-by-step explanation:
Center= (-7+5) /2 = - 2/2 = -1 and (4-5)/2 = - 1/2
Coordinates of the center = (-1, - 1/2 )
(-1 is the h coordinate in the circle equation and -1/2 is the k)
Distance of the diameter= sqrt [(-7- 5)^2 + (4 - - 5)^2]
d = sqrt [(-12)^2 + (9)^2
d = sqrt (144+81)
d = sqrt 225
( the value of the radius in the equation is squared so the radius is (sqrt 225/2)^2=
Radius= 225/4
The equation of circle is: (x - - 1)^2 + (y - - 1/2) = 225/4
