Question 1161726
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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.


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.


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.


You can do your own arithmetic.
								
								
John
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My calculator said it, I believe it, that settles it
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