Circle and square A piece of wire 60 cm in length is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?

Solution Step 1: (a)We have given A piece of wire 60 cm in length is cut, and the resulting two pieces are formed to make a circle and a square. That is circumference of a circle(2r ) and perimeter of square(4x) together have 60 cm length 2r + 4x=60 Solve for r 2r = 60 4x 604x r = 2 302x r =