#
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.

1
by twoct75

Log in to add a comment

a square card board of size 24 cm.

by twoct75

Log in to add a comment

The area of largest sector that can be inscribed in a square will be one vertex of the square as the centre of the sector and the side of square as it's radius.

According to the question:

required area will be=area of squareABCD-area of sector ADFEBA.

Now area of square =side^2=24^2=576sq.cm

Area of the sector=(1/4)*pi*radius^2

=0.25*3.14*24^2

=452.16sq.cm

therefore area of cardboard wasted=area of the square -area of the sector

=576sq.cm-452.16sq.cm

=123.84sq.cm