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7899

Minimizing the Perimeter of a Sector with Given Area

Given the area of a sector, find the value of the radius that minimizes the perimeter of the sector with that area.

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DETAILS

This is a typical minimization problem encountered by calculus students as an application of differentiation.
The Demonstration is based on Problem 26 in C. Gauci and K. Asciak, Intermediate Pure Mathematics, 3rd ed., Malta: Progress Press, 2005 p. 154.

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PERMANENT CITATION

"Minimizing the Perimeter of a Sector with Given Area" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/MinimizingThePerimeterOfASectorWithGivenArea/
Contributed by: Roberta Grech




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