document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825646>Question 825646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square. How should this string be cut so that the sum of the areas is a minimum .\r<BR>\n" );
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document.write( "Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497510 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square.<BR>\n" );
document.write( " How should this string be cut so that the sum of the areas is a minimum .<BR>\n" );
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document.write( "Let x = the circumference of the circle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(24-x) = the perimeter of the square<BR>\n" );
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document.write( "Find the area of the circle<BR>\n" );
document.write( "find r<BR>\n" );
document.write( "2*pi*r = x<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%282%2Api%29 ALIGN=MIDDLE  ALT=\"x%2F%282%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the area of the circle<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28x%2F%282%2Api%29%29%5E2 ALIGN=MIDDLE  ALT=\"pi%2A%28x%2F%282%2Api%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28x%5E2%2F%284%2Api%5E2%29%29 ALIGN=MIDDLE  ALT=\"pi%2A%28x%5E2%2F%284%2Api%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%284%2Api%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%284%2Api%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq/cm, the area of the circle<BR>\n" );
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document.write( "Find the area of the square<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824-x%29%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28%2824-x%29%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq/cm the area of the square<BR>\n" );
document.write( "The total area<BR>\n" );
document.write( "At = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824-x%29%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28%2824-x%29%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%284%2Api%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%284%2Api%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph this equation, find the min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+30%2C+-10%2C+100%2C+%28%2824-x%29%2F4%29%5E2%2B%28x%5E2%2F%284%2Api%29%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Min occurs when x=10.6 cm<BR>\n" );
document.write( "cut string 10.6 cm from one end </SPAN>\n" );
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