Give the equation of the circle with center at (0, 2) and radius = 5

Standard form for a circle is:

(x-h)^2 + (y-k)^2 = r^2, where h and k are the coordinates of the center of the circle.

So, in your example you would have:
(x-0)^2 + (y-2)^2=5^2
x^2 + (y-2)^2 = 25