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Bryan R.

asked • 07/09/20

Optizimation Question

Four feet of wire is to be used to form a square and a circle. How much of the wire should

be used for the square and how much should be used for the circle to enclose the

(a)maximum total area?

(b) minimum total area?

1 Expert Answer

By:

Sava D.

tutor
Investigating quadratics, we know that the vertical line x = - b/2a will give a minimum of the quadratics. In the above equation, b = - 1/2, a =(1/4π + 1/16). So, the value x= -(-1/2)/[2 x(1/4π + 1/16) ] will give the global min for the quadratic.
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07/09/20

Sava D.

tutor
The above result shows that the circle will give the most area than any polygon with the same perimeter as the circumference of the circle.
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07/09/20

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