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From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semicircular portion with BC as diameter is cut off. Find the area of the remaining paper.

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Length of rectangular sheet of paper = 40 cm

Breadth of rectangular sheet of paper = 28 cm

Radius of the semicircular cut out = 14 cm

Area of rectangular sheet of paper = Area of rectangle = length × breadth = 40 × 28 = 1120 cm2

Area of semicircular cut out = 1/2 πr2

= 1/2 x 22/7 x 14 x 14

= 308 cm2

Now,

Area of remaining sheet of paper = Area of rectangular sheet of paper – Area of semicircular cut out

= 1120 – 308

= 812

Therefore, area of remaining sheet of paper is 812 cm2.

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