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Bigger than what ?

Smaller than what ?

If you have a certain perimeter and you want to cram the most area inside it,

or if you have a certain area and you want to enclose it in the shortest perimeter,

then you must make the perimeter circular.

If you have only a limited number of fence posts and a circular perimeter isn't practical,

then you make the perimeter square.

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Q: What shape has a bigger area and a smaller perimeter?
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