We know that 2 cups of orange juice make 3 cups of fruit punch. So 2/3 cups of orange juice makes 1 cup of fruit punch. Due to this, you know that 2/3 belongs.
Theta = 210° r = 4.6/2 = 2.3 Area of circle = pi * r * r = 3.14 * 2.3 * 2.3 = 16.61 Area of sector = (theta / 360) * area of circle = (210/360) * 16.61 = 9.69