A piece of wire of length 50 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square? (...) (a) To minimize the combined area, the wire should be cut so that a length of is used for the circle and a length ofis used for the square. (Round to the nearest thousandth as needed.) (b) to maximize 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
Problem 43PS
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A piece of wire of length 50 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be
cut to (a) minimize and (b) maximize the combined area of the circle and the square?
(...)
(a) To minimize the combined area, the wire should be cut so that a length of is used for the circle and a length ofis used
for the square.
(Round to the nearest thousandth as needed.)
(b) To maximize 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 50 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square? (...) (a) To minimize the combined area, the wire should be cut so that a length of is used for the circle and a length ofis used for the square. (Round to the nearest thousandth as needed.) (b) To maximize 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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