I have $2$ points on circle from which I want to find the center of circle. I also know the r. I am trying to solve $2$ equations but not able to find the centre $( C_x,C_y)$. Can someone check what I am doing wrong?
$1. (A_x - C_x)^2 + (A_y - C_y)^2 = r^2$
$2. (B_x - C_x)^2 + (B_y - C_y)^2 = r^2$
Solving 1 first I got
$-C_x^2 = r^2 - A_x^2 - A_y^2 + C_y^2$
Putting this value in eq.$2$ I got nothing ... how to find $C_x$ and $C_y$ then?
$B_x^2 - A_x^2 - A_y^2 + B_y^2 = 0$
these are the values I already know...