How do I find the poin of intersection in two circles?

Two circles don''t usually intersect at just a point (unless they are just touching). Often they will overlap and have an area of intersection. It''s very easy to test if they intersect - simply see if the distance between the origins is less than the sum or the radii. Finding a point of intersection is more difficult, I need some help with this too...

i dunno the exact formula but i know that from both circles centers to the intersecting points u can get SSS info for a triangle, radius1, radius2, DistanceOfCircles, i know this didnt' really help but with 3 sides of a triangle you can figure out all the angles using laws of cosine to get the one then you would use laws of sine to get other one then 180 - A1 - A2 = A3 to get the 3rd, then you know take one circles center as a starting point, and move in the direction of the angle you find the distance of the radius and you willl have a point


wow im sure that idnd't help but i have ntohign better to do but type

edit formulas:

google laws of cosine i think its like this

A = sqrt(b^+ c^2 ) * cos(c) wow that isn't it but it will give u something to look for, you would switch it around to be like this

A = cos-1((sqrt(b^2+c^2)/(2a))) man im sorry but just google this i have to remember htis and quadratic equations and arthimetric geometric (recursive and explicit)

anyways lawsa of sine is beautifuly simple




unfortunately u need to know at least 3 peice of info which is why u need laws of cosine, then just cross multiply and devide, to get angle A with angle B and length b and length a you do sin-1(sin(B)*a/b)=A hope that helped a lil

[edited by - honayboyz on May 15, 2003 11:53:26 PM]

http://astronomy.swin.edu.au/~pbourke/geometry/2circle/