Question

A wire. 4 metres long, is cut into two pieces. One is bent into the shape of a square and the other into the shape of a circle. 12.1 12.2 12.3 If the length of wire used to make the circle is x metres, write in terms of x the length of the sides of the square in metres. Show that the sum of the areas of the circle and the square is given by f(x)=(1++1 square metres. 16 How should the wire be cut so that the sum of the areas of the circle and the square is a minimum?