Squeezing Mickey Again
Three unit circles are squeezed into the smallest-sized regular hexagon possible.
What is the length of a side of the hexagon to 3 decimal places?
Inspired by Geoff Pilling
The answer is 2.309.
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1 solution
The angles in the diagram below can be discovered through symmetry.
Then, using 30-60-90 triangle side relationships, the length of a side of the hexagon is 3 4 3 ≈ 2 . 3 0 9 .