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A coin with diameter 1 cm rolls around the contour outside of a regular hexagon with sides 1 cm long, as shown

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A coin with diameter 1 cm rolls around the contour outside of
a regular hexagon with sides 1 cm long, as shown. How long
is the path traced by the centre of the coin (in cm)?

A6+5 B6tn Cl2+nm D64+2n El2+2n