Find the standard equation of a circle with the center (0, 2) and a radius of 2 units.

3 answers

(x-0)^2 + (y-2)^2 = 2^2
The standard equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

Where h and k are the coordinates for the centre.

Hence(h, k) is (0, 2) respectively.
and the radius is 2 units

Now all you have to do is substitute it in.

(x-0)^2 + (y-2)^2 = 2^2

alas the standard equation is,

(x-2)^2 + (y-2)^2 = 4
Alas? All was good up till there.

The standard equation desired is indeed

x^2 + (y-2)^2 =4