A wire of length L meters is to be divided into two parts; one part will be bent intoa square and the other into a circle. How should the wite be divided to make the sum of the areas of the square and circle as large as possible? How should the wire be divided to make the sum of the areas of the square and circle as small as possible?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 29E
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A wire of length L meters is to be divided into two parts; one part will be bent intoa square and the other into a circle. How should the wite be divided to make the sum of the areas of the square and circle as large as possible?

How should the wire be divided to make the sum of the areas of the square and circle as small as possible?

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