A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? To minimize the combined area, the wire should be cut so that a length of is used for the circle and a length of is used for the square. (Round to the nearest thousandth as needed.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a
minimum, what is the length of each part?
To minimize the combined area, the wire should be cut so that a length of
is used for the circle and a length of is used for the square.
(Round to the nearest thousandth as needed.)
Transcribed Image Text:A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? To minimize the combined area, the wire should be cut so that a length of is used for the circle and a length of is used for the square. (Round to the nearest thousandth as needed.)
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