document.write( "Question 58813This question is from textbook Elementary and Intermediate Algegra
\n" ); document.write( ": Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for Pi.) \n" ); document.write( "
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Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for Pi.
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\n" ); document.write( "Let x = length of the side & the radius
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\n" ); document.write( "Perimeter of the square: 4x
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\n" ); document.write( "Circumference of the circle: 2*pi*x
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\n" ); document.write( "\"circumference of the circle is 15.96 cm greater than the perimeter of the sq.\"
\n" ); document.write( "(2*pi*x) = 4x + 15.96
\n" ); document.write( "6.28x = 4x + 15.96
\n" ); document.write( "6.28x - 4x = 15.96
\n" ); document.write( "2.28x = 15.96
\n" ); document.write( "x = 15.96/2.28
\n" ); document.write( "x = 7 cm
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\n" ); document.write( "Check our solution x = 7:
\n" ); document.write( "Circum - perimeter
\n" ); document.write( "(2*pi*7) - 4(7) =
\n" ); document.write( "43.96 - 28 = 15.96
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