Question

a wire of length 28m is to be cut into two piece. one of the pieces is to be made into a square and the other into a circle. what should be the length of the two pieces so that the combined area of the square and the circle is minimum?

Answer 1

Let x = circumference of the circle then (40-x) = perimeter of the square : Find the radius of the circle r = x/2pi Find the area of the circle a = pi(X/2pi)+ a = pi(2pi) Cancel pi a = x(sq)/4pi.