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White square is inscribed in a blue circle, which is inscribed in larger orange square. Which is larger, orange or blue?

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A white square is inscribed in a blue circle, which is inscribed in a larger orange square. Which area is larger, orange or blue?

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posted Jun 1, 2018 by anonymous

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1 Answer

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Best answer

If we consider R to be radius of circle then:
White area is: (2R x 2R)/2 = 2R^2
Blue area is : 3.14 x R^2 - 2R^2 = 1.14 R^2
Orange area is: 2R x 2R - 3.14 R^2 = 0.86 R^2
Therefor Blue area is larger than Orange area

answer Jun 2, 2018 by Ahmad Cheragh



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