1.

If a circle of maximum area is cut out of the square paper, what is the percentage wastage of the paper in this process? (π = 22 /7)1). 202). 150/73). 160/74). 10

Answer»

LET the side of the SQUARE be 2x

⇒ Diameter of the circle = Side of the square

⇒ Radius of the circle = x

⇒ Area wasted = Area of the square – Area of the circle= (2x)2 - π x2

⇒ x2 (4 – 22/7)= 6x2/7

∴ Percentage WASTAGE = Area wasted/Area of square × 100 = (6x2/7)/4x2 × 100 = 150/7%


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