Question

From a square cardboard of area 196cm^2 a circle with biggest area is cut out find the area of the remaining cardboard

Answer 1

Answer :

Area of square = (Side)^2

$Side = \sqrt{area}$

$Side = \sqrt{196} = 14cm$

Therefore, each side of square is 14 cm.

As the side of square is 14 cm, the diameter of circle will be 14 cm.

So, the biggest circle that can be placed in the square is of diameter 14 cm.

$=> Radius \: of \: circle \: = 7cm$

$Area \: of \: circle \: = \pi {r}^{2}$

Area of circle = 22/7*7*7 = 154 sq.cm

Therefore area of remaining cardboard = Ar. square - Ar. circle

=> 196 - 154 = 42 sq. cm

Area of remaining cardboard is 42 sq. cm

Answer 2

Area of square = (Side)^2

Therefore, each side of square is 14 cm.

As the side of square is 14 cm, the diameter of circle will be 14 cm.

So, the biggest circle that can be placed in the square is of diameter 14 cm.

Area of circle = 22/7*7*7 = 154 sq.cm

Therefore area of remaining cardboard = Ar. square - Ar. circle

=> 196 - 154 = 42 sq. cm

Area of remaining cardboard is 42 sq. cm