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Geometry (Discussion)

ankita saidTue, 07 Oct 2008 07:56:34 -0000 ( Link )

A circle of maximum possible size is cut from a square sheet of board.

Subsequently, a square of maximum possible size is cut from the resultant circle.

What will be area of the final square?

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  1. chandra_avinash saidTue, 07 Oct 2008 10:04:24 -0000 ( Link )

    The key to solving the problem is to be able to visualize it correctly. In case you have trouble visualising it, then I can try posting a graphic solution with figures.

    Lets assume that the side of the square is = a

    Therefore, Diameter of the circle which has been cut out will be = a

    Hence Radius of circle = a/2

    The square of maximum size in the circle will have the diameter as it’s diagonal.

    Hence side of the square will be (diameter)/(square root of 2)

    So area of the square will be = a^2/2

    Hope this helps!

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  2. ankita saidTue, 07 Oct 2008 10:18:25 -0000 ( Link )

    That’s correct…

    Therefore, the area of the new square will be 50% of the area of the original square.

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  3. chandra_avinash saidTue, 07 Oct 2008 10:33:57 -0000 ( Link )

    Correct!

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  4. ujju saidMon, 19 Jan 2009 07:22:47 -0000 ( Link )

    the area will be 50% of the original one.

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  5. spiyr saidSun, 19 Apr 2009 20:29:09 -0000 ( Link )

    simple

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