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