document.write( "Question 1210280: A regular hexagon is below. Solve for the area of the hexagon.
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\n" ); document.write( "A watch has the SAME hexagonal face as the picture to the left. If the radius of the circle is 4, then what is the area between the hexagon and circle?
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Algebra.Com's Answer #851834 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The area of any regular hexagon is six times the area of the central equilateral triangle.\r\n" );
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document.write( "In your case, the central equilateral triangle has the side length a = 14 units.\r\n" );
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document.write( "Its height is  h = .\r\n" );
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document.write( "So, the area of the central equilateral triangle is  \r\n" );
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document.write( "     =  =  =  =  =   square units.\r\n" );
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document.write( "The area of the hexagon is then   =  = 509.2229 square units (approximately).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "A watch has the SAME hexagonal face as the picture to the left.
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document.write( "To solve the second problem, from the area of the hexagon   = 509.2229 square units \r\n" );
document.write( "subtract the area of the circle   =  = 50.26544  square units.\r\n" );
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document.write( "You will get then\r\n" );
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document.write( "    the area of the shaded region = 509.2229 - 50.2644 = 458.9575 square units  (approximately).    ANSWER\r\n" );
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