Where should he cut the wire so that the sum of the areas of the square and the circle is maximized?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One of the pieces will be bent into the shape of a square and the other into the shape of a circle. Where should he cut the wire so that the sum of the areas of the square and the circle is maximized?

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