From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semi-circular portion with BC as diameteris cut off. Find the area of remining paper (use π = 22/7)
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area of rectangle -area of semicircle
area of rectangle=40×28=1120cm²
area of semicircle =πr²/2
=22(14)(14)/2(7)
=308 cm²
area of remaining part
=1200-308
=892cm²
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Answer:812 square cm
Step-by-step explanation:since ABCD is a rectangle,
AB=DC=40cm
AD=BC=28cm
Area of rectangle ABCD
=length ×breadth
=40×28
=1120 square cm
In a semicircle ,
Diameter =BC=28cm
Therefore radius =14cm
Area of a semicircle
=1/2 × 22/7 × r^2
=1/2 × 22/7×14×14
=22×14
=308 square cm
Area of remaining paper
=area of rectangle -area of the semicircle
=1120 - 308
=812 square cm .
Therefore, area of the remaining paper is 812 square cm.
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