# What is the side length of the smallest regular hexagon that can pack 6 circles of unit length in the given way?

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What is the side length of the smallest regular hexagon that can pack 6 circles of unit length in the given way?

posted Nov 23, 2018

Since R > the diameter of the unit circle by an amount greater than the radius of the unit circle there is room for another unit circle in the middle. Therefore for both 6 and 7 unit circles to fit in the smallest possible regular hexagon the side length of the regular hexagon is 3.1547 units.

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