Find intersection of two semi-circles

Question

I know how to calculate the intersection points of two circles. But I wasn't able to adjust the formula in my Python program so it would also apply for semi-circles.

How can I find the intersection points of two semi-circles?

For example, with which formula can I calculate the intersection points of semi-cirle $a$ and semi-circle $b$? Notice that the intersection points on the red line should not be calculated. You can actually call it arc $a$ and arc $b$.

score 0 · Answer 1 · answered Nov 19 '20 at 14:14

0

Compute the intersection points of the full circles to find candidates. Then throw away the candidates that don’t lie on the semicircles.

answered Nov 19 '20 at 14:14

dshin

1,525

Isn't there another way without calculating the full circle? – NimaJan Nov 19 '20 at 14:16
I think it’s unlikely that a simpler method exists. – dshin Nov 19 '20 at 15:08

Find intersection of two semi-circles

1 Answers1