Write an equation of a circle with diameter stack A B

Question

A (0, 2) and B (0, 10)

Answer 1

Midpoint of AB is the center and half of the length of AB is the radius.

Midpoint is ((0+0)/2, (2+10)/2)=(0, 6) and the radius is (10-2)/2=4.

Then,

(x-0)^2+(y-6)^2=4^2 or

x^2+(y-6)^2=16