Question
By what minimum angle does a regular hexagon rotate so as to coincide with its origional position for the first time?
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Answer
A regular hexagon must be rotated through a minimum angle of $60^\circ .$
So, that it can coincide with its original position for the first time.
Because the angle of rotation of hexagon.
$\frac{360^\circ}{\text{Number of side}}=\frac{360^\circ}{6}=60^\circ$
So, that it can coincide with its original position for the first time.
Because the angle of rotation of hexagon.
$\frac{360^\circ}{\text{Number of side}}=\frac{360^\circ}{6}=60^\circ$
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