Difference between revisions of "Isoperimetric Inequalities"
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Revision as of 13:58, 22 December 2007
Isoperimetric Inequalities are inequalities concerning the area of a figure with a given perimeter. They were worked on extensively by Lagrange.
If a figure in a plane has area and perimeter
then
. This means that given a perimeter
for a plane figure, the circle has the largest area. Conversely, of all plane figures with area
, the circle has the least perimeter.