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## Homework Statement

For a two DIMENSIONAL figure of given perimeter why does the circle have the largest area? Similarly, of all three dimensional figures of given volume the sphere has the largest area. why?

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- Thread starter Amith2006
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For a two DIMENSIONAL figure of given perimeter why does the circle have the largest area? Similarly, of all three dimensional figures of given volume the sphere has the largest area. why?

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thanx buddy.

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HallsofIvy

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The complete answer involves "Calculus of Variations".

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