How to you understand an overlapping between two object

I have two series of circles: -group A every object has (x_A,y_A,r_a) where x_A and y_A are the coordinate for the center and r the radius -group B every object has (x_b,y_b,r_b) the same as in A case it is possible to create a code with the aim of understanding if there is overlab between this two object? I think that it is possible to start with a circle of group A and scan the area starting from the center x_A, y_A but I have no Idea how to create this algorithm. Any suggestion?

[Cristina Garozzo]

For more clarity, I have to distinguish these 3 possible case

Answer 1

[Image Analyst]

Of course. For a pair of circles, if the sum of the two radii is more than the distance between the centers, then they overlap. Not sure what you want to do with this determination afterwards though.

[Cristina Garozzo]

It seems a good point, I hope that the macro will be fast, because I have more the 400 cicles for the group A and more than 600 for group group B.