Question

For a project you need to cut 4 circles of radius 7cm each. If you have& a
square paper of side 31 cm and a rectangular paper of dimension 61 cm * 16
cm. Which one will you use so that the wastage of paper is less.​

Answer 1

Breadth of rectangle =22cm

Length of rectangle =35cm

The diameter is equal to the shortest side of the rectangle.

Therefore,

Radius of circle =  

2

22

​  

=11cm

∴ Area of circle =πr  

2

 

=  

7

22

​  

×(11)  

2

 

=380.28cm  

2

Hope it helps!!

Answer 2

Answer:

Step-by-step explanation:

Need to cut 4 circles of radius 7cm each.

Area of 1 circle = πr²

= 3.14 × 7²

= 3.14 × 49

= 153.86 cm²

Area of 4 circle = 4 × 153.86

= 615.86

Area of square = side²

= 31²

= 961 cm²

Area of rectangular paper= l × b

= 61 × 16

= 976 cm²

If we cut four circle from square , the remaining paper will be = 961 - 651.86

= 309.14

If we cut four circle from rectangle , the remaining paper will be = 976 - 651.86 = 324.14

Square paper is best to use, wastage of paper is less than rectangle.