A paper is in the form of rectangle having length 28 cm and breadth 21 cm. A semicircular portion with breadth as a diameter is cut off. The area of remaining portion is
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A paper is in the form of a rectangle ABCD in which AB=30cm and DA=20cm. A semicircular portion with BC as diameter is cut off.Find the area of the remaining part.
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December 27, 2019avatar
Sabby Sanathra
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ANSWER
We have,
AB=CD=30 cm
AD=BC=20 cm
Since,
ABCD is a rectangle and semicircular portion with BC diameter is cut off. it means radius of semicircle is 10 cm.
Therefore, the area of remaining part is
=AB×AD−
2
π×(BC/2)
2
=30×20−
2
π×(20/2)
2
=600−
2
π×(10)
2
=600−
2
π×100
=600−3.14×50
=600−157
=443 cm
2
Hence, this is the answer.
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