It is known that of all plane curves that enclose a given area, the circle has the

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It is known that of all plane curves that enclose a given area, the circle has the least perimeter. Show that if a plane curve of perimeter L encloses an area A then 4πA ≤ L². Verify this inequality for a square and a semicircle.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 03, 2024 05:00 AM

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It is known that of all plane curves that enclose a given area, the circle has the

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Lp where p is the perimeter of the circle of area A For the c...View the full answer

Modern Engineering Mathematics

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