3. A piece of wire 10 meters long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How should the wire be cut so that the total area is a maximum? (b) How should the wire be cut so that the total area is a minimum?

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter61: Areas Of Circles, Sectors, And Segments
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3. A piece of wire 10 meters long is cut into two pieces. One piece is bent into a square and the
other is bent into a circle.
(a) How should the wire be cut so that the total area is a maximum?
(b) How should the wire be cut so that the total area is a minimum?
Transcribed Image Text:3. A piece of wire 10 meters long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How should the wire be cut so that the total area is a maximum? (b) How should the wire be cut so that the total area is a minimum?
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