[Math] fit 4 circles within a square

discrete geometryplane-geometry

If I have a square and want to place four equally large circles within this square, how large can the maximum radius be (compared to the lenght of the side of the square)?

Just an answer would be ok, but answer and explanation would be better.

Best Answer

See the links below. The solutions have been show to be optimal up to 20 circles into a square.

http://mathworld.wolfram.com/CirclePacking.html

A fun site about all kinds of packing results is:

https://erich-friedman.github.io/packing/cirinsqu/

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