document.write( "Question 507047: Suppose the area of a circle is numerically equal to the perimeter of a square and that the length of a radius of the circle is equal to the lenght of a side of the square. Find the length of a side of the square. Express answer in terms of pi \n" ); document.write( "
Algebra.Com's Answer #340389 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Suppose the area of a circle is numerically equal to the perimeter of a square and that the length of a radius of the circle is equal to the length of a side of the square.
\n" ); document.write( " Find the length of a side of the square. Express answer in terms of pi
\n" ); document.write( ":
\n" ); document.write( "let s = side of the square
\n" ); document.write( "then
\n" ); document.write( "4s = the perimeter of the square
\n" ); document.write( ":
\n" ); document.write( "It says,\"the area of a circle is numerically equal to the perimeter of a square\" therefore
\n" ); document.write( "\"pi%2Ar%5E2\" = 4s
\n" ); document.write( "and
\n" ); document.write( "\"the length of a radius of the circle is equal to the length of a side of the square.\" therefore:
\n" ); document.write( "r = s
\n" ); document.write( ":
\n" ); document.write( "In the 1st equation, replace r with s
\n" ); document.write( "\"pi%2As%5E2\" = 4s
\n" ); document.write( "divide both sides by s
\n" ); document.write( "\"pi%2As\" = 4
\n" ); document.write( "divide both sides by pi
\n" ); document.write( "s = \"4%2Fpi\"
\n" ); document.write( "
\n" ); document.write( "
\n" );