Question

25 rings each of radius4/3cm are placed in a square of side 12 cm. find the unoccupied area of the square

Answer 1

Area occupied by one ring = πr^2 = (22/7)×(4/3)^2 = 5.58cm^2
Area occupied by 25 rings= 5.58×25= 139.6cm^2
Area occupied by the square= 12×12= 144cm^2
Therefore, area unoccupied by the rings= 144-139.6= 4.4cm^2

Answer 2

Area of square = side × side

= 12× 12 = 144cm^2

Area of circle = pi × r × r

= 22/7 × 4/3 × 4/3

=. 5.58cm^2

Now area of 25 rings are = 5.58 × 24

=. 133.92cm^2

Area left = area of square - area of circles

= 144 - 133.92

= 10.08 cm^2

Thanks