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Problem of the Day #211: A Pig Stuck inside Its Pen October 16, 2011

Posted by Alex in : potd , trackback

Albert the Pig is chained by a stiff leash, of length $x$, to one of the corners of a pen, in the shape of a regular hexagon with side length $1$. Albert must stay within the pen. The leash does not bend but Albert’s neck allows him to reach areas up to $0.1$ units beyond his leash. Find $x$ such that the area of land that Albert can reach is maximized.

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