Analytic Circle

Problem:



Solution:

The center is (3, 2) and the radius is 2 - by reading the graph.

Therefore the center radius form is $ (x - 3)^2 + (y - 2)^2 = 2^2 = 4 $.

The general form is given by simply expanding the above, getting

$ x^2 - 6x + 9 + y^2 - 4y + 4 = 4 $

Simplifying, get

$ x^2 + y^2 - 6x - 4y  + 9 = 0 $