How to generate circles and check if they overlap or touch object

[Woogie Boogie]

Hello
I’m very new with ImageJ macro and plug-in.
I’ve been asked to analyze a spatial distribution of objects by generating large number of circles of specified diameter at random positions in the image and checking whether they overlap or touch objects. My image is a binary image with black objects and white background.
Could you please give me some links / ideas I can take inspiration from?
Thank you in advance.