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A circular piece of metal of maximum size is cut out of a

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Senior Manager
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A circular piece of metal of maximum size is cut out of a [#permalink] New post 13 Mar 2004, 16:03
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A circular piece of metal of maximum size is cut out of a square. Subsequently, a square piece of maximum size is cut out of this circle. What is area of the resulting square?

25% of the original square
75% of the original square
50% of the original square
75% of the circle
Cannot be determined
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 [#permalink] New post 13 Mar 2004, 17:31
Ans: 50% of original square.

Draw a square , inside a circile and inside the circle another square.

If out side square side is assumed as 1, then inside square is 1/SQRT(2).

From it, we can deduce, the area of the inside square is half of the
outside square.
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 [#permalink] New post 14 Mar 2004, 13:05
50.

Pick a number side of Original sq = 10 Area = 100

the Side of the smaller square wille 5SQRT2 and area will be 50 which is 50% of the area of original sqk
  [#permalink] 14 Mar 2004, 13:05
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A circular piece of metal of maximum size is cut out of a

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