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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 :
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- (8 – π) sq.cm.
- (16 – 4 π) sq.cm.
- (16 – 8 π) sq.cm.
- (4 – 2 π) sq.cm.
- (8 – π) sq.cm.
Correct Option: B
Using Rule 10,
Area of sectors = πr² = 4p sq.cm.
⇒ Area of square = 4 × 4 = 16 sq.cm.
∴ Area of the remaining portion = (16 – 4 π) sq.cm.
