11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Gamepad Controls
Automatic Animation
SNAPSHOTS
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.
RELATED LINKS
Circular Sector
(
Wolfram
MathWorld
)
Minimum
(
Wolfram
MathWorld
)
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Maximizing the Area of Some Geometric Figures of Fixed Perimeter
Marc Brodie (Wheeling Jesuit University)
Minimizing the Time for a Dog to Fetch a Ball in Water
Jon Mormino
Maximum Area Field with a Corner Wall
Roger B. Kirchner
The Greatest Fenced Area along a Barn
Nasri Abdel-Aziz
The Maximum Rectangular Area under Different Curves
Marc Brodie (Wheeling Jesuit University)
Minimum Area between a Semicircle and a Rectangle
Abraham Gadalla
Maximizing the Volume and Surface Area of Geometric Solids Inscribed in a Sphere
Marc Brodie (Wheeling Jesuit University)
Optimize the Length of the Crease of a Folded Piece of Paper
John A. Boerger
Maximizing the Volume of a Right Circular Cone with Given Slant Length
Roberta Grech
Geometric Representation of Method of Lagrange Multipliers
Shashi Sathyanarayana
Related Topics
Calculus
Optimization
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.B.5
HSG-MG.A.3
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+