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:

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](4 – 2π) sq. cm.
[B](16 – 4π) sq. cm.
[C](8 – π) sq. cm.
[D](16 – 8π) sq. cm.

(16 – 4π) sq. cm.

Area of sectors = \pi\times r^{2} = 4\pi cm^{2}
=> Area of square = 4 \times 4 = 16 sq.cm.
∴ Area of the remaining portion = (16 – 4π) sq.cm.
Hence option [B] is the right answer.

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