A piece of wire 12 ft long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. We allow x to equal 0 or 12, so all the wire may be used for the square or for the circle.

Where should the cut be made in order to minimize the sum of the areas enclosed by both figures?

Transcribed Image Text:

X Radius of circle = Side of square = X 2TT 12 - x 4 -12- 12 - x Area of square Area of circle = T (+)* = 12 - (¹24