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Monday, December 14, 2015

Problem of the Week

Even if it hasn't started snowing yet, by golly it's supposed to be wintry in December, so have a suitably wintry Problem of the Week.
As always, I've written up my solution to this problem below. 



If you liked this, check out the rest of our Problems of the Week! 
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3 comments:

  1. SigmaDecember 15, 2015 at 11:11 PM

    There is a typo. The last number should be 0.35382097...

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    Replies
    1. Center of MathematicsDecember 16, 2015 at 10:45 AM

      Thanks for catching this! On further calculation it seems to me that the value is actually 0.32382907..., however. What mechanism did you get your answer with?

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    2. SigmaDecember 16, 2015 at 12:21 PM

      lol, ooops, I guess I made a typo too. My method is (AreaOfMug - 3*AreaOfMarsh) / AreaOfMug which simplifies to (R^2 - 3)/R^2 where R = 1 + 2/sqrt(3). I typed the last expression into Python and got this 0.3538290724795825

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