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You are given a string of fixed length l with one end fastened at the origin, and you are to place the string in the xy plane with its other end on
You are given a string of fixed length l with one end fastened at the origin, and you are to place the string in the xy plane with its other end on the x axis in such away as to enclose the maximum area between the string and the x axis. Show that the required shape is a semi-circle
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