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