I want to write an algorithm for two circles intersection and touching cases . How can I do it with a quadtratic equation?

Asked Sep 23 '18 at 21:12

Active Sep 23 '18 at 21:12

Viewed 54 times

Given that two circles with coordinates (x1, y1) and (x2, y2) and radius r1 and r2 respectively . I need to find an equation , which can be used in code to to find the coordinates and the presence of touching and intersection . Like Ay2 + By + C = 0 .

Circle 1 (x - x1)2 + (y - y1)2 = R1 * R1 Circle 2 (x - x2)2 + (y - y2)2 = R2 * R2

asked Sep 23 '18 at 21:12

Trevor Philip

You'll need to solve a nonlinear system of equations. – Sean Roberson Sep 23 '18 at 21:22
Can't I just get a formula for intersction points of two circles , with these give points ? – Trevor Philip Sep 23 '18 at 21:28
I doubt you will be able to find such a formula. – Sean Roberson Sep 23 '18 at 21:34

I want to write an algorithm for two circles intersection and touching cases . How can I do it with a quadtratic equation?

0 Answers0