Answer:
(x+2)^2+(y-6)^2=80
Step-by-step explanation:
equation of a circle : [tex](x-a)^{2} +(y-b)^{2}=r^2\\[/tex]
where (a,b) is the center and r is the radius
r = distance between two points
r = [tex]\sqrt{(6-(-2))^2+(2-6)^2} =\sqrt{8^2+(-4)^2} =\sqrt{64+16} =\sqrt{80}[/tex]
equation of the circle = [tex](x+2)^2+(y-6)^2=80[/tex]
