document.write( "Question 357369: A regular hexagon has an apothem of 7root3 cm. What is the area of this hexagon? \n" ); document.write( "
Algebra.Com's Answer #255221 by Earlsdon(6294)\"\" \"About 
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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.
\n" ); document.write( "A regular hexagon has 6 sides so n = 6 and the apothem (r) is given as \"7%2Asqrt%283%29\"
\n" ); document.write( "\"A+=+nr%5E2tan%28180%2Fn%29\" Substitute n = 6 and \"r+=+7%2Asqrt%283%29\":
\n" ); document.write( "\"A+=+6%2A%287%2Asqrt%283%29%29%5E2tan%28180%2F6%29\" Evaluate.
\n" ); document.write( "\"A+=+6%28147%29tan30\"
\n" ); document.write( "\"A+=+882%2A0.577\"
\n" ); document.write( "\"A+=+509\"sq.cm.
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