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scoray [572]
4 years ago
10

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?
Mathematics
1 answer:
Alona [7]4 years ago
6 0

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

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