document.write( "Question 91325: hi, i would like to know the area of a regular heptagon who's perimeter is 1000m.
\n" ); document.write( "can you please help me and answer this question.\r
\n" ); document.write( "\n" ); document.write( "thanks
\n" ); document.write( "bye!
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Algebra.Com's Answer #66301 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Heptagon has 7 sides.
\n" ); document.write( "Draw the picture including the 7 interior triangles.
\n" ); document.write( "Each side is 1000/7 = 142.86
\n" ); document.write( "A central angle of one of the interior triangles is 360/7 = 51.43 degrees
\n" ); document.write( "Draw an altitude from the center to one of the sides. That bisects the
\n" ); document.write( "side.
\n" ); document.write( "Find the altitude using tan(51.43/2)=71.43/altitude
\n" ); document.write( "altitude = 148.32
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\n" ); document.write( "Area of one of the 7 interior triangles is 71.43*148.32 = 10594.58
\n" ); document.write( "Area of the whole heptagon = 7*10594.58 = 74162.08 sq meters
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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