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From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm, are cut out. The area of the remaining portion is :

a

(16โ€“8π) sq.cm.

b

(16โ€“4π) sq.cm.

c

(4โ€“2π)sq.cm.

d

(8โ€“π) sq.cm.

Answer : Option B
Explanation :

Area of sectors = Sr2

= 4π sq.cm.

Area of square

= 4 ร— 4 = 16 sq.cm.

Area of the remaining portion

= (16 โ€“ 4π) sq.cm.

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