The name of the game here is to pack n non-overlapping equal circles inside a circle as densely as possible.
Quite a bit is known about this and several papers have been published about it. Some information is available on the web. To get an idea what the best arrangements look like for small values of n check out Erich Friedman's circles in a circle page. E. Specht has a web page showing best known arrangements and their vital statistics for up to 500 circles, here . Here you will find some information not on those pages (and some that is).
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