document.write( "Question 826586: Dear Sir / Madam;
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document.write( "Kindly help me with this word problem.
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document.write( "Given a regular pentagon of side 42 cm. find the area of:
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document.write( "a) the pentagon
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document.write( "b) the inscribed circle
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document.write( "c) the circumscribed circle\r
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document.write( "Thank you so much for your help! \n" );
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Algebra.Com's Answer #498165 by stanbon(75887)![]() ![]() ![]() 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 \n" ); document.write( "----------------------------------------------- \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 \n" ); document.write( "========================= \n" ); document.write( "c) the circumscribed circle \n" ); document.write( "Radius = 42 cm \n" ); document.write( "Area = pi(42^2) = 5541.77 cm^2 \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================= \n" ); document.write( " \n" ); document.write( " |