This presentation explores isoperimetric inequalities, which are fundamental results in mathematics linking the area of a shape to its perimeter. We will discuss the historical context and significance of these inequalities, highlighting classical results such as the isoperimetric theorem in the plane, which asserts that among all simple closed curves with a given length, the circle encloses the maximum area. Additionally, we will examine various extensions and generalizations of these inequalities. The presentation aims to provide a comprehensive overview of the principles underlying isoperimetric inequalities.