How many squares can be packed into a circle?

Question

How many squares of size a×a can be packed into a circle of radius R?

I don\'t need a solution. I just need some kind of a starting idea.

Answer 1

You can pack as many squares as you like into a circle. If you doubt this statement, draw a large circle on a piece of paper, then draw a square with side length 10^(-18)m inside it, repeat. When you get near to the boundary of the circle, start drawing squares with side length of 10^(-21)m.

So your first step must be to refine your question and state your problem more accurately.