Momorize these two facts:

1.  The equation of the circle with center (h,k) and radius, r, is:

(x-h)2 + (y-k)2 = r2

2. The distance, d, between the points (x1,y1) and
   (x2,y2) is given by this formula:

  

Plot those points:



Now if we connect them that will be a radius, and we can draw the circle
by putting the point of a compass on (0,3) and the pencil of the compass
on (-3,2) and swinging it around.



If we find the distance between those two points we will have the radius r.

So we use this formula to find that distance:

 

where (x1,y1) = (0,3) and (x2,y2) = (-3,2)

Substituting:



 





So d is the radius r.

Now we are ready to substitute into

 with center  and  .





Edwin