let
C:centre(m,n)
m= (6-4)/2=1
n= (-8+2)/2 = -3
|AB| =2r
(2r)^2 = (6+4)^2 + (-8-2)^2 = 200
r^2=50
equation of cirlcle
(x-m)^2+(y-n)^2 = r^2
(x-1)^2+(y+3)^2 =50