Abstract
The isoperimetric problem is a well-known problem in geometry, and it has a long and rich history (Blasjo 2005). In the plane, the isoperimetric problem consists of finding the simple closed curve of a given perimeter that encloses the greatest area, with the circle being the famous solution. Attempts to solve the isoperimetric problem, as well as other analogous problems in calculus and physics, were undertaken by many great mathematicians in the past whose work ultimately laid the foundation for the elegant branch of analysis known today as the calculus of variations.
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