Answer :

Let a be the side of a square sheet


Then area of bigger square sheet = a2 …..1


Now, we make the circle of maximum possible size from it.


Then the radius of circle = ………….2


So its diameter = a


Now, any square in a circle of maximum size will have the length of diagonal equal to the diameter of circle.


i.e. diagonal of square made inside the circle = a


so, the side of this square =


Area of this square =


From eqs.1and 2,


Area of final square is of original square.

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