SOLUTION: A regular hexagon has an apothem of 7root3 cm. What is the area of this hexagon?

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Question 357369: A regular hexagon has an apothem of 7root3 cm. What is the area of this hexagon?
Answer by Earlsdon(6294) About Me  (Show Source):
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The area of a regular polygon can be expressed in terms of its apothem (r) (the perpendicular distance from the center to a side of the polygon) and the number (n) of sides in the polygon.
A regular hexagon has 6 sides so n = 6 and the apothem (r) is given as 7%2Asqrt%283%29
A+=+nr%5E2tan%28180%2Fn%29 Substitute n = 6 and r+=+7%2Asqrt%283%29:
A+=+6%2A%287%2Asqrt%283%29%29%5E2tan%28180%2F6%29 Evaluate.
A+=+6%28147%29tan30
A+=+882%2A0.577
A+=+509sq.cm.