From a sheet of paper of dimensions 2 m × 1.5 m, how many circles of radius 5 cm can be cut? Also find the area of the paper wasted. (Take π = 3.14)

Length of sheet = 2 m = 200 cm,

Breadth of sheet = 1.5 m = 150 cm.

Given,

Radius of each circle = 5 cm,

Diameter of each circle = 2 × 5 = 10 cm.

No. of circles lengthwise to be cut = $\dfrac{\text{Length of sheet}}{\text{Diameter of each circle}} = \dfrac{200}{10}$ = 20.

No. of circles breadthwise to be cut = $\dfrac{\text{Breadth of sheet}}{\text{Diameter of each circle}} = \dfrac{150}{10}$ = 15.

Total no. of circles that can be cut = 20 × 15 = 300.

Area of paper wasted = Area of sheet - Area of circles

= l × b - 300 × πr²

= 200 × 150 - 300 × 3.14 × (5)²

= 30000 - 23550

= 6450 cm².

Hence, total no. of circles that can be cut = 300 and area of paper wasted = 6450 cm².