What is the area of the shaded region ?

A. (32 - 4π) sq. units

B. (32 - 8π) sq. units

C. (16 - 4π) sq. units

D. (16 - 8π) sq. units

Answer: Option B

Solution(By Examveda Team)

Radius of each circle = 2 units
Area of the shaded region :
$$=$$ Area of the rectangle $$-$$ Area of two circles
$$\eqalign{ & = \left[ {\left( {8 \times 4} \right) - 2 \times \pi {{\left( 2 \right)}^2}} \right]\text{sq. units} \cr & = \left( {32 - 8\pi } \right)\text{sq. units} \cr} $$