Answer:
Area of the shaded region = 6.88 cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
Length of the rectangle = AD = 8 cm
Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]
Area of the rectangle = 8 × 4 = 32 cm²
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
= [tex]\frac{1}{2}\pi (OP)^{2}[/tex]
= [tex]\frac{1}{2}\pi (4)^{2}[/tex]
= 25.12 cm²
Area of the shaded region = 32 - 25.12
= 6.88 cm²
