document.write( "Question 332758: The number of centimeters in the perimeter of a semicircle is numerically the
\n" ); document.write( "same as the number of square centimeters in its area. What is the number of
\n" ); document.write( "centimeters in the radius of the semicircle?
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Algebra.Com's Answer #238475 by ankor@dixie-net.com(22740)\"\" \"About 
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The number of centimeters in the perimeter of a semicircle is numerically the
\n" ); document.write( "same as the number of square centimeters in its area.
\n" ); document.write( " What is the number of centimeters in the radius of the semicircle?
\n" ); document.write( ":
\n" ); document.write( "Let r = the radius
\n" ); document.write( "Half the circumference = \"pi%2Ar\"
\n" ); document.write( ":
\n" ); document.write( "Circumference of a semi-circle = area of the semicircle
\n" ); document.write( "\"%28pi%2Ar%29%2B+2r\" = \".5%2Api%2Ar%5E2\"
\n" ); document.write( "factor out r
\n" ); document.write( "\"r%28pi%2B2%29\" = \".5%2Api%2Ar%5E2\"
\n" ); document.write( "Divide both sides by r
\n" ); document.write( "\"pi%2B2\" = \".5%2Api%2Ar\"
\n" ); document.write( "Use 3.1416 for pi
\n" ); document.write( "3.1416 + 2 = .5*3.1416*r
\n" ); document.write( "5.1416 = 1.5708r
\n" ); document.write( "r = \"5.1416%2F1.5708\"
\n" ); document.write( "r = 3.273 cm is the radius
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\n" ); document.write( "Check this:
\n" ); document.write( " find the area of the semi circle
\n" ); document.write( "A = \".5%2Api%2A3.273%5E2\"
\n" ); document.write( "A = 16.827
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\n" ); document.write( "Find the circum of the semi circle
\n" ); document.write( "C = \"%28pi%2A3.273%29%2B2%282.373%29\"
\n" ); document.write( "C = 16.828, close enough
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