19. A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of a circle and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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Topic: Absolute Extrema,Extreme Value & Optimization

19. A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of a circle
and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed
areas is a minimum?
Transcribed Image Text:19. A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of a circle and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum?
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