document.write( "Question 1051388: A square has an area that measures twice the area of a circle. Calculate the ratio of the perimeter of the square to the circumference of the circle. \n" ); document.write( "
Algebra.Com's Answer #666906 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let s be the side of the square and r be the radius of the circle, then \n" ); document.write( ": \n" ); document.write( "1) s^2 = 2*pi*r^2 \n" ); document.write( ": \n" ); document.write( "Perimeter of square = 4s \n" ); document.write( ": \n" ); document.write( "Circumference of circle = 2*pi*r \n" ); document.write( ": \n" ); document.write( "from equation 1) s = square root (2*pi*r^2) \n" ); document.write( ": \n" ); document.write( "ratio of perimeter of square to circumference of the circle = (4*r*square root(2*pi)) / (2*pi*r) = (2*square root(2*pi)) / pi \n" ); document.write( ": \n" ); document.write( "square the numerator and denominator \n" ); document.write( ": \n" ); document.write( "************************** \n" ); document.write( "4 * 2 * pi / pi^2 = 8 / pi \n" ); document.write( "************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |