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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.
Contributed by:
Roberta Grech
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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.
RELATED LINKS
Circular Sector
(
Wolfram
MathWorld
)
Minimum
(
Wolfram
MathWorld
)
PERMANENT CITATION
Roberta Grech
"
Minimizing the Perimeter of a Sector with Given Area
"
http://demonstrations.wolfram.com/MinimizingThePerimeterOfASectorWithGivenArea/
Wolfram Demonstrations Project
Published: November 22, 2010
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Related Topics
Calculus
Optimization
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.B.5
HSG-MG.A.3