Isoperimetric Theorem

Of all convex -gons of a given perimeter, the one which maximizes area is the regular -gon.

See also

Isoperimetric Inequality, Isoperimetric Problem

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Cite this as:

Weisstein, Eric W. "Isoperimetric Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IsoperimetricTheorem.html

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