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The given figure shows a circle, centred at O, enclosed in a square. Find the total area of shaded parts?

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The given figure shows a circle, centred at O, enclosed in a square. Find the total area of shaded parts?
enter image description here

posted Feb 14 by anonymous

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1 Answer

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~119 cm^2


If we call name S- square, C- circle, K- cut sections on the corners of the square by the circle, then we have the steps as pictured below and calculation is:
Shaded area = C+2K-2*C/4+2K=C/2+4K
As 4K=S-C, the shaded area will = C/2+S-C=S-C/2=14^2- pi*(14/2)^2/2=196- 49*pi/2 = ~119 cm^2


enter image description here

answer Feb 15 by Hanifa Mammadov



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