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 :

Given:

The area of square = (side)^{2} = 24× 24 cm^{2} = 576 cm^{2}

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 cm^{2}

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

= Area of square – Area of the sector

= 576 cm^{2} – 452.57 cm^{2}

123.84 cm^{2}

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