document.write( "Question 204772This question is from textbook Longman Mathematics
\n" ); document.write( ": A piece of wire 30com long is cut into two pieces. One of these is bent into a circle and the other is bent into a square enclosing the circle. What is the diameter of the circle? \n" ); document.write( "
Algebra.Com's Answer #154541 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A piece of wire 30com long is cut into two pieces.
\n" ); document.write( "One of these is bent into a circle and the other is bent into a square enclosing the circle.
\n" ); document.write( "What is the diameter of the circle?
\n" ); document.write( ";
\n" ); document.write( "The diameter of the circle is also the side of the square
\n" ); document.write( ":
\n" ); document.write( "Let x = the diameter and the side of the square
\n" ); document.write( ";
\n" ); document.write( "Circum + perimeter = 30
\n" ); document.write( "pi*x + 4x = 30
\n" ); document.write( ";
\n" ); document.write( "4.71416x = 30
\n" ); document.write( "x = \"30%2F4.71416\"
\n" ); document.write( "x = 4.2 cm is the diameter of the circle
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( "circum: 4.2*pi = 13.195
\n" ); document.write( "perime: 4 * 4.2= 16.80
\n" ); document.write( "------------------------
\n" ); document.write( "wire length = 29.995 ~ 30
\n" ); document.write( "
\n" );