SOLUTION: Take any wire of length 20 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum. A = Area o

Question 977367: Take any wire of length 20 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)2 + C2 /4π where C = 2πr
1) S + C =____________

2) A =_______ + _______________ (Write the equation in terms of C.)

3) Find dA/dC.

4) Set dA/dC = 0 and solve for C.

5) Check if A'' is positive. If it is positive, the total area is minimum.

6) S = ___________ and C =_______________
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The steps I left out are trivial; you can finish it for yourself.

John

My calculator said it, I believe it, that settles it

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