Placing small circles randomly inside a larger circle, where no two small circles intersect

Question

Sorry if this is the wrong place to ask, was unsure...let me know if it belongs some where else.

So i am trying to work out a way to write an algorithm to place a series of small circles of a set radius (all the small circles have the same radius), inside a larger circle.

The small circles cannot overlap each other or overlap the main circle's perimeter, and they are placed randomly inside the main circle.

I am wanting it to then populate as many circles as it can until it is not possible to place any more circles without overlapping another.

This obviously means that each run through depending on the random placements will potentially give different amounts of maximum number of circles inside the big circle - thats fine, and thats some what the point.

Does any one have any advice how i might approach the logic for this?