document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161726>Question 1161726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A component (circle-shaped with a diameter measuring 60 cm) is stamped out of sheet steel. A square(with side measuring 30 cm) in the center of that circle is discarded. These components are stamped out of a continuous steel coil with a width of 70 cm. The stamping process requires a gap of 25mm between each component. The steel coil is supplied in lengths of 25 meters costing $200.\r<BR>\n" );
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document.write( "a) What is the approximate percentage of steel wasted including the center square?<BR>\n" );
document.write( "b) Assuming minimal wastage, how many components can be produced from each 25-meter coil?<BR>\n" );
document.write( "c) What is the approximate cost of a component if the scrap is sold at 50% of the cost?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785336 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=solver91311&illustration_name=CircularComponentStamping.jpg\">.\r<BR>\n" );
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document.write( "See diagram.  There are exactly 40 pieces of the 25-meter coil of steel that measure 62.5 cm -- the diameter of the required circle plus the required 25 mm (2.5 cm) gap.\r<BR>\n" );
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document.write( "For one of the pieces, the scrap is the portion outside of the circle and inside of the green square.  The total area of one piece is 62.5 x 70 square cm.  The area of the circle is 30²π cm², and the area of the square is 30² cm².   So the area of scrap is (62.5 x 70) - 30²π + 30² cm², which, divided by the total area of the piece gives the scrap percentage.\r<BR>\n" );
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document.write( "The scrap percentage calculated above times the $200 cost of the coil gives the cost of the scrap.  Half of that cost subtracted from the $200 gives the total cost of material for the 40 components produced.  So (200 - (Scrap Cost/2))/40 gives the per component material cost.\r<BR>\n" );
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document.write( "You can do your own arithmetic.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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