Question

Nancy has to cut out circles of diameter 1 3/ 7 cm from an aluminium strip of dimensions 7 1/ 7 cm by 1 3/ 7 cm . How many full circles can Nancy cut?

Answer 1

Answer:

Nancy can cut 6 full circles

Step-by-step explanation:

Length of aluminium strip = $7 \frac{1}{7} cm$

Length of aluminium strip =$\frac{50}{7} cm$

Breadth of aluminium strip =$1 \frac{3}{7} cm$

Breadth of aluminium strip =$\frac{10}{7} cm$

Area of strip = $Length \times Breadth = \frac{50}{7} \times \frac{10}{7} =\frac{500}{49}$

Diameter of circle = $1 \frac{3}{7} cm$

Diameter of circle = $\frac{10}{7} cm$

Radius of circle =$\frac{10}{ 7 \times 2}=\frac{10}{14} cm$

Area of circle =$\pi r^2 = \frac{22}{7} \times (\frac{10}{14})^2=\frac{550}{343} cm^2$

No. of circles can be cut = $\frac{\frac{500}{49}}{\frac{550}{343}}=6.3636$

So,Nancy can cut 6 full circles