= Isoperimetric inequality
{wiki=Isoperimetric_inequality}
The isoperimetric inequality is a fundamental result in mathematics, particularly in geometry and analysis. It relates the length of a closed curve (the perimeter) to the area it encloses. The classic formulation states that for a simple closed curve in the plane, the perimeter \\( P \\) and the area \\( A \\) are related by the inequality: \\\[ P^2 \\geq 4\\pi A, \\\] with equality holding if and only if the shape is a circle.
Back to article page
