Q. 123.5( 2 Votes )

Find the area of card board wasted if a sector of maximum possible size is cut out from a square card board of size 24 cm. [π = 3.14].

Answer :


The area of square = (side)2 = 24× 24 cm2 = 576 cm2

Now, the area of area has to be maximum. It means that the side of the square will be radius of the sector.

Then, area of the sector =


= 452.57 cm2

Then, the wasted area will be given as the remaining area

= Area of square – Area of the sector

= 576 cm2 – 452.57 cm2

123.84 cm2

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