A piece of string whose length is 32 cm is cut into two pieces. One piece is used to form an equilateral triangle and the other to form a circle. What should be the perimeter of the equilateral triangle and the circumference of the circle so that the sum of the areas is a minimum?
Find the minimum sum of the areas. Express your answer in terms of pi.
Find the minimum sum of the areas. Express your answer in terms of pi.