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15 July, 11:52

A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.

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  1. 15 July, 13:17
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    A wire of length 12" can be bent into a circle, a square or cut into 2 pieces and make both a circle and a square. How much wire should be used for the circle if the total area enclosed by the figure (s) is to be:

    a) a Maximum

    b) a Minimum

    What I've got so far is that the formula for the square is As=116s2

    and the circumfrance of the circle to be P=12-c

    and area to be Ac=π (P2π) 2

    where c

    is the length of the wire for the circle and s

    is the length of the wire for the square.

    Now I know I need to differentiate these formulas to then find the max and min they both can be, but what am I differentiating with respect to? The missing variable in each of the formulas?

    Also, once, I find the derivitives, what would my next steps be to minimizing and maximizing these?

    And did I set the problem up correctly?
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