Word Count : 584

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Isoperimetric problems are a class of optimization problems in mathematics that seek to determine a shape or figure that maximizes or minimizes a particular quantity while satisfying a given constraint. The term "isoperimetric" is derived from the Greek words “iso,” meaning equal, and “perimetros,” meaning perimeter. Traditionally, these problems involve finding a figure of the largest possible area given a fixed perimeter, or conversely, finding a figure of the smallest possible perimeter given a fixed area. The most classical example of an isoperimetric problem is determining that among all closed curves of a given length, the circle ______ ___ ___ _________ ___ __________ ____ _______.
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