# Intersection of two chords [duplicate]

Let AB and CD be two intersecting chords of a circle. How can I find the coordinates of the intersection point knowing only the euclidean coordinates of the endpoints A,B,C,D and the circle center point?

This can of course be solved with a segment-segment intersection algorithm (thanks for marking this question as duplicate, everyone), but I am asking if there is a simpler or more efficient algorithm that exploits the fact that the two line segments are chords of the same circle.

## marked as duplicate by amd, user99914, Namaste, ccorn, Lord Shark the UnknownSep 1 '18 at 6:30

• Draw $AB$ and $CD$, what are you asking? – Maria Mazur Aug 31 '18 at 17:10