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Isoperimetric Inequality

Let a Plane figure have Area $A$ and Perimeter $p$. Let the Circle of Perimeter $p$. Then

\begin{displaymath}
{4\pi A\over p^2}\leq 1,
\end{displaymath}

where the quantity on the left is known as the Isoperimetric Quotient.




© 1996-9 Eric W. Weisstein
1999-05-26