document.write( "Question 204772This question is from textbook Longman Mathematics
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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" );
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Algebra.Com's Answer #154541 by ankor@dixie-net.com(22740)![]() ![]() 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 = \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( " |