Answer: Area of the shaded region is 6.867 square cm
Explanation:
The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.
Area of the rectangle = 4 times 8 = 32 cm^2
Area of the semicircle = 0.5 * pi * r^2 (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2
The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)