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There was a circle.A square of max size was cut from it.From this square,a circle of max size was cut.What was the ratio of this final size w.r.t initial size?
Let the diameter of the circle be 'd'
When a square of maximum size is cut then the diagonal of the square is the equal to the diameter of the circle
So diagonal of square is "d"
Hence side of square is d/21/2
When from the square a maximum size of circle is cut then diameter of circle is equal to the side of the square
So diameter of new circle is d/21/2
So ratio of diameter of final to the initial is 1/21/2
Hence ratio of areas is 1/2.
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