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what is the area of the square minus the area of the circle
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The area of the circle is πr2. From the diagram, the side length of the square is 2r. Hence the area of the square is (2r)2 = 4r2. you could find the ratio area circle/area square = πr2/4r2 = p/4. As a percentage this is 100π/4 = 78.54%. |dw:1397678230815:dw|Alternatively they may then subtract the area of the circle from the square area to find the wasted area. 4 r2 - πr2 = r2 (4 - π). The percentage wasted is then 4 - π/4 = 21.46%
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