how do you find the area of a regular polygon without one of the side lengths but with an apothem?

Question

nottim · Answer

Apothem? NOOO

anonymous · Answer

there is an apothem but no side length so i dont know how to find the perimeter

anonymous · Answer

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directrix · Answer

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A regular hexagon has a central angle of measure 60. 
The radii of a regular hexagon are congruent.
The apothem of the regular hexagon is the altitude of one of the six congruent triangles into which the hexagon's area can be divided.

That said, take a look at the diagram. Focus on the 30-60-90 triangle which has the apothem and half the side of the regular hexagon as legs and the radius of the regular hexagon as hypotenuse.