document.write( "Question 1004502: A circle with radius 10x is inscribed in a square.\r
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document.write( "part a: Write an expression for the area of the circle.\r
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document.write( "part b: Write an expression for the area of the square.\r
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document.write( "part c: Form a simplified rational expression from the ratio of the two areas. Use the circle area as the numerator. \n" );
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Algebra.Com's Answer #620963 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A circle with radius 10x is inscribed in a square. \n" ); document.write( "Sketch that picture; label the radius as 10x; then the diagonal = 20x \n" ); document.write( "Then each side is 20x/sqrt(2) = 10sqrt(2)x \n" ); document.write( "--------- \n" ); document.write( "part a: Write an expression for the area of the circle. \n" ); document.write( "Area = pi*radius^2 = pi*100x^2 \n" ); document.write( "----------------------------------------- \n" ); document.write( "part b: Write an expression for the area of the square. \n" ); document.write( "Area = side^2 = 100*2x^2 = 200x^2 \n" ); document.write( "------- \n" ); document.write( "part c: Form a simplified rational expression from the ratio of the two areas. Use the circle area as the numerator. \n" ); document.write( "Ans: [pi*100x^2] / [200x^2] = pi/2 \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |