Waste

How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?

Correct result:

p =  36.338 %

Solution:

r=1 m u=2r  u=2⋅ r=2⋅ 1=2 m a=u/2=2/2=2 m≐1.4142 m  S1=π⋅ r2=3.1416⋅ 12≐3.1416 m2 S2=a2=1.41422=2 m2  p=100⋅ S1−S2S1=100⋅ 3.1416−23.1416=36.338%

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