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Question
For the rectangle ABCD with AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. The area of the blue colored region is 
For the rectangle ABCD with AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. The area of the blue colored region is
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Solution
The correct option is A 126
A sector with an angle of 180° is called a semi circle. 2 semicircles form a complete circle.
Therefore,
the area of blue colored region =Area of rectangle−Area of circle
As the semicircles lie on the breadth of the rectangle, Diameter of the circle(d)=Breadth of the rectangle=14cm
Radius of the circle(r)=d/2=7cm
Thus, Area of blue colored region=(20×14)−π×7²=126cm²
A sector with an angle of 180° is called a semi circle. 2 semicircles form a complete circle.
Therefore,
the area of blue colored region =Area of rectangle−Area of circle
As the semicircles lie on the breadth of the rectangle, Diameter of the circle(d)=Breadth of the rectangle=14cm
Radius of the circle(r)=d/2=7cm
Thus, Area of blue colored region=(20×14)−π×7²=126cm²
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