Respuesta :

Answer:

29.7345 square units

Step-by-step explanation:

Area of the shaded part = Area of the rectangle - Area of the quarter circle

Area of the rectangle = Length × Width = 10 × 8 = 80 square units

Area of the quarter circle = [tex]\frac{1}{4}[/tex] × π × r² (r for radius) = 0.25 × π × 8² = 50.2655 square units (answer rounded up to four decimal places)

Area of the shaded part = 80 square units - 50.2655 square units = 29.7345 square units