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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!

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

ReplyDeleteThanks 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?

Deletelol, 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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