document.write( "Question 826586: Dear Sir / Madam;
\n" ); document.write( "Kindly help me with this word problem.
\n" ); document.write( "Given a regular pentagon of side 42 cm. find the area of:
\n" ); document.write( "a) the pentagon
\n" ); document.write( "b) the inscribed circle
\n" ); document.write( "c) the circumscribed circle\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for your help!
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Algebra.Com's Answer #498165 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Given a regular pentagon of side 42 cm. find the area of:
\n" ); document.write( "a) the pentagon
\n" ); document.write( "Regular Pentagon made up of 5 regular triangles.
\n" ); document.write( "Area of each triangle:
\n" ); document.write( "height = sqrt[42^2-(21/2)^2] = 40 2/3 cm
\n" ); document.write( "a = (1/2)(21)(40 2/3) = 427 cm^2
\n" ); document.write( "Area of Pentagon:: 5*427 = 2135.02 cm^2
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\n" ); document.write( "b) the inscribed circle
\n" ); document.write( "Radius = 40 2/3 cm
\n" ); document.write( "Area = pi*(40 2/3)^2 = 1653.75 cm^2
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\n" ); document.write( "c) the circumscribed circle
\n" ); document.write( "Radius = 42 cm
\n" ); document.write( "Area = pi(42^2) = 5541.77 cm^2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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