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.Show that the side of the square equals the diameter of the circle, that is, that the circle can be inscribed in the square.

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