Answer:
Nancy can cut 6 full circles
Step-by-step explanation:
Length of aluminium strip = [tex]7 \frac{1}{7} cm[/tex]
Length of aluminium strip =[tex]\frac{50}{7} cm[/tex]
Breadth of aluminium strip =[tex]1 \frac{3}{7} cm[/tex]
Breadth of aluminium strip =[tex]\frac{10}{7} cm[/tex]
Area of strip = [tex]Length \times Breadth = \frac{50}{7} \times \frac{10}{7} =\frac{500}{49}[/tex]
Diameter of circle = [tex]1 \frac{3}{7} cm[/tex]
Diameter of circle = [tex]\frac{10}{7} cm[/tex]
Radius of circle =[tex]\frac{10}{ 7 \times 2}=\frac{10}{14} cm[/tex]
Area of circle =[tex]\pi r^2 = \frac{22}{7} \times (\frac{10}{14})^2=\frac{550}{343} cm^2[/tex]
No. of circles can be cut = [tex]\frac{\frac{500}{49}}{\frac{550}{343}}=6.3636[/tex]
So,Nancy can cut 6 full circles
