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Thread: Got spare brain cells to burn? Try this...

  1. #1
    Senior Member
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    Default Got spare brain cells to burn? Try this...

    OK, yet another geometry question. This one, frankly speaking, I don't know the answer also.

    Here it goes:

    Draw a circle with diameter AB.
    On the diameter, mark a point C.
    Draw a smaller circle within the big circle with diameter AC.
    On the right of the small circle, draw a square such that the the centre of the square falls on the diameter AB of the big circle, the left edge is tangential to the small circle, and the 2 corners on the right falls on the circumference of the big circle.

    Question: what should the ratio AC:AB be such that the area of the small circle equals the area of the square?

    Please refer to the diagram below:



    Enjoy!

    - Roy
    As complexity rises, precise statements lose meaning and meaningful statements lose precision.

  2. #2
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    Default

    The answer i obtain is 0.50243

  3. #3
    Senior Member
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    Default

    Quote Originally Posted by Yildun
    The answer i obtain is 0.50243
    I think you are right. Well done!
    As complexity rises, precise statements lose meaning and meaningful statements lose precision.

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