document.write( "Question 271661: What is the largest possible area of a square cut out of a circle with radius 1 cm?\r
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document.write( "A π cm^2 b square root 2cm^2 c 2cm^2 d 1cm^2 e π /2 cm^2 \r
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Algebra.Com's Answer #198835 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is the largest possible area of a square cut out of a circle with radius 1 cm? \n" ); document.write( "----------- \n" ); document.write( "Draw a circle \n" ); document.write( "Draw a square inside the circle. \n" ); document.write( "The diagonal of the square is the diameter of the circle = 2 cm \n" ); document.write( "--- \n" ); document.write( "Let the sides of the square be \"x\". \n" ); document.write( "Use Pythagoras to find \"x\": \n" ); document.write( "Equation: \n" ); document.write( "x^2 + x^2 = 2^2 \n" ); document.write( "2x^2 = 4 \n" ); document.write( "x^2 = 2 \n" ); document.write( "x = sqrt(2) \n" ); document.write( "----------- \n" ); document.write( "Area of the square = (sqrt(2))^2 = 2 sq cm \n" ); document.write( "=============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============================================== \n" ); document.write( "A π cm^2 b square root 2cm^2 c 2cm^2 d 1cm^2 e π /2 cm^2 \n" ); document.write( " \n" ); document.write( " |