You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? This question will walk you through setting up and solving this problem. We need to start by dividing up the wire into two pieces. Since the question is asking us for the circumference of the circle, it will likely be easiest to use that quantity as our variable. So, let C represent the circumference of the circle. A) If the circumference of the circle is C, then the piece of wire bent into a circle will have length C. The rest of the 86 cm of wire will be bent into the square. How long is the remaining piece of wire that will be bent into a square? (this will be in terms of C) The length of wire that will be bent into a square D cm. Question Help: Message instructor D Post to forum Submit Part

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
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Part 1 of 7
You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into the shape
of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the
square and the circle. What is the circumference of the circle when A is a minimum?
This question will walk you through setting up and solving this problem.
We need to start by dividing up the wire into two pieces. Since the question is asking us for the
circumference of the circle, it will likely be easiest to use that quantity as our variable.
So, let C represent the circumference of the circle.
A) If the circumference of the circle is C, then the piece of wire bent into a circle will have length C. The
rest of the 86 cm of wire will be bent into the square. How long is the remaining piece of wire that will be
bent into a square? (this will be in terms of C)
The length of wire that will be bent into a square
cm.
Question Help: O Message instructor D Post to forum
Submit Part
Type here to search
Transcribed Image Text:Part 1 of 7 You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? This question will walk you through setting up and solving this problem. We need to start by dividing up the wire into two pieces. Since the question is asking us for the circumference of the circle, it will likely be easiest to use that quantity as our variable. So, let C represent the circumference of the circle. A) If the circumference of the circle is C, then the piece of wire bent into a circle will have length C. The rest of the 86 cm of wire will be bent into the square. How long is the remaining piece of wire that will be bent into a square? (this will be in terms of C) The length of wire that will be bent into a square cm. Question Help: O Message instructor D Post to forum Submit Part Type here to search
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