Random Circles in circles

A link to an example of this helpful.

I apologize for not being specific, but I plan to tailor the base method of creating a circle at a random location in a circle without touching the edges of the larger circle to fit my needs.

more information in case u are wondering:

The larger circle is at a fixed position.
the size of the smaller circles doesn’t matter as long as it is in the bigger circle
the smaller circle can be as far as possible from the center of the circle assuming it does not cross the boundaries of the larger circle
yes it can touch the boundaries of the larger circle

thanks for your time, sorry for sounding desperate.