A differential geometry question.

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binglee
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Fix a number L > 2. Consider all smooth plane curves r of length L that connect (−1, 0) and (1, 0) and are contained in the upper half-plane. Note that and the segment [−1, 1] of the X-axis together bound a plane domain D. Find r such that D has the maximal possible area.
 

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Sounds like a homework problem. You know we aren't an answer service, right?
 

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