document.write( "Question 459960: A wire 41 inches long needs to be cut into three pieces so that it can be formed into two identical circles and a square. The length of the side of the square must equal the diameter of the circles.approximate where the wire should be cut. Please show me how to solve this .. \n" ); document.write( "
Algebra.Com's Answer #315538 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A wire 41 inches long needs to be cut into three pieces so that it can be formed into two identical circles and a square. \n" ); document.write( "The length of the side of the square must equal the diameter of the circles. \n" ); document.write( "approximate where the wire should be cut. \n" ); document.write( ": \n" ); document.write( "Let x = the side of the square and the diameter of the circles \n" ); document.write( ": \n" ); document.write( "4x = the perimeter of the square \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "perimeter of the square + the circumference of two circles = 41 \n" ); document.write( "4x + \n" ); document.write( "Find x \n" ); document.write( "4x + 6.2832x = 41 \n" ); document.write( "10.2832x = 41 \n" ); document.write( "x = \n" ); document.write( "x = 3.9871 ~ 4 inches the side of the square and the diameter of the circles \n" ); document.write( ": \n" ); document.write( "Cut 4(4) = 16 inches, leaving 41 - 16 = 25 inches remain \n" ); document.write( "Cut the remainder in half, each = 12.5 inches, circumference of each circle \n" ); document.write( ": \n" ); document.write( "Check this by finding the circumference using x=4 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |