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A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and the other into a shape of a square. How should a wire be cut so that (a) the combined area of the two figures is as small as possible; (b) the combined area of the two figures is as large as possible?

A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and the other into a shape of a square. How should a wire be cut so that (a) the combined area of the two figures is as small as possible; (b) the combined area of the two figures is as large as possible?

Elementary Geometry For College Students, 7e
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.CR: Review Exercises
Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...
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A piece of wire 10 ft long is cut into two piece. One piece is bent into the
shape of a circle and the other into a shape of a square. How should a wire
be cut so that (a) the combined area of the two figures is as small as
possible; (b) the combined area of the two figures is as large as possible?

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