Answer:B: 192pi - 144Step-by-step explanation:Area of the sector = (120/360) * pi * r^2Area of the sector = 1/3 * pi * 24 * 24Area of the sector = 192 * piNow to find the area of the triangle.The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.the small angles are equal to 2x + 120 = 180 Subtract 120 from both sides2x = 60 Divide by 2x = 60/2x = 30The height of the triangle is derived from sin(30) = opposite / hypotenusesin(30) = 1/2hypotenuse = 241/2 = opposite / hypotenuse1/2 = opposite / 24 Multiply both sides by 241/2 * 24 = oppositeopposite = 12The height = 12r = 24Area of the triangle = 1/2 * 12 * 24Area of the triangle = 144So the area of the shaded area = 192*pi - 144 which looks like B