In mathematics, the
isoperimetric inequality is a
geometric inequality involving the square of the
circumference of a
closed curve in the plane and the
area of a plane region it encloses, as well as its various generalizations. literally means "having the same
perimeter". Specifically, the isoperimetric inequality states, for the length
L of a closed curve and the area
A of the planar region that it encloses, that