Question

Asked Oct 29, 2019

A piece of wire of length 63 is cut, and the resulting tow 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) Let x be the amount of wire used for the circle. What is the function A, the combined ara of the circle and square in terms of x?

A= ______ (type an expression, type the exact number using pi as needed)

To minimize 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 nearest thousandth)

(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 nearest thousandth)

Step 1

The total length of the wire is 63.

Let *x* be the length of the wire cut for the circle.

Then, 63-*x* is the length of the ire cut for the square.

If *x* is the length cut for the circle then the circumference of the circle is *x*.

That is,

Step 2

Total area of the circle and the square is,

Step 3

Compute the maximum or mi...

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