A piece of wire, of length 50 cm, is cut into two pieces. One piece is bent

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A piece of wire, of length 50 cm, is cut into two pieces. One piece is bent to make a square of side x cm and the other is bent to make circle of radius r cm. The total area enclosed by the two shapes is A cm2.

a. Express r in term of x.

b. Show that A = (π + 4)x2 – 100x + 625/π.

c. Find the stationary value of A and the value of x for which this occurs. Give your answers correct 3 sf.

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