Question 936272: a rectangle of largest area is cut out from a circle. what percent of area is lost as trimming
Found 3 solutions by josgarithmetic, stanbon, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a rectangle of largest area is cut out from a circle.
what percent of area is lost as trimming
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That rectangle is a square with diagonal equal to the diameter of the circle.
Area of the circle:: pi(d/2)^2 (pi/4)d^2
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Area of the square:: (d/sqrt(2))^2 = (1/2)d^2
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Percent lost = (area of square)/(area of circle) = (1/2)d^2/(pi/4)d^2
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= (1/2)/(pi/4) = 2/pi = 64%
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Cheers,
Stan H.
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Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
a rectangle of largest area is cut out from a circle. what percent of area is lost as trimming
Percent of CIRCLE lost due to trimming:  %
You can do the check!!
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