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Two semicircular pieces are cut out from a rectangular sheet. Find the area of the remaining portion.

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Best answer

Area, of the rectangle = 50 × 20 = 1000 cm2

If the two semicircles cut out are joined it becomes a circle

Its radius = 20/2 = 10 cm

Area of the portion cut out

= πr2 = π × 10 × 10 = 3.14 × 10 × 10 = 314 cm2

Area of the remaining portion

= 1000 – 314 = 686 cm2

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