Q12 of 64 Page 74

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].

Given:

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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