Seven unit circles were arranged inside regular hexagon as shown. What is the side length of the Hexagon?

Round your answer to three decimal places.

The answer is 3.155.

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From the picture:

$Side\quad Length\quad =\quad 2\quad +\quad 2X$

$X\quad =\quad \frac { 1 }{ \tan { 60 } } =\quad 0.57735$

$Side\quad Length\quad =\quad 2\quad +\quad 2\quad *\quad 0.57735$ $=\boxed { 3.1547 }$