Thank you, Mathman, for answering my question. I have done what you suggested by combining the equations of the two circles to find the intersection coordinates at Q.
C1: (x-2)^2 + y^2 = 4
C2: x^2 + y^2 = r^2
It comes out to
x = (r^2)/4
With this I can isolate r or x...either way, I now...