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I am working on making inverse kinematics for a game I am making so I decided that the best way to start would be to do it in 2D.
After asking some people how to do it, they said you need to calculate the intersection of 2 circles.
How would I go about doing this without using any trigonometric formula? I searched online, however the answers and solutions to get the answer are not very well worded and easy to understand.
If you know the two positions of the circles, the distance between them and the radius of the circles, how would you calculate the intersection? And if you are answering can you clearly explain each step and what each thing means please and it would help me very much, e.g if you are using $x_1^2$, $x_2^2$, $y_1^2$, $y_2^2$, $r_1$, $r_2$ etc as such they do not show much meaning to me as I do not understand what they are showing? If you could explain this in the very best way possible for me to understand that would be great! thank you very much!