Radical center is described as the center of the unique circle that intersects three given circles at right angles. (Wikipedia Link ). This paper gives a good example to the method. What I wonder is how to implement this method to 4 circles. Say we have 4 circles with known origin points $\{(x1,y1) ,(x2,y2),(x3,y3),(x4,y4)\}$ and radius $(r1, r2, r3, r4).$ In this case how can I calculate the radical center of these 4 circles?
PS: I couldn't add these tags because of the rep issue. Could the admin add them please : radical-center, radical-lines, power-center