Isoperimetric Inequality in The Plane
The solution to the isoperimetric problem in the plane is usually expressed in the form of an inequality that relates the length of a closed curve and the area of the planar region that it encloses. The isoperimetric inequality states that
and that the equality holds if and only if the curve is a round circle. The inequality is an upper bound for area in terms of length. It can be rewritten as follows:
Read more about this topic: Introduction To Systolic Geometry
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