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06.06.2020 •
Mathematics
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?
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Ответ:
Nancy can cut 6 full circles
Step-by-step explanation:
Length of aluminium strip =![7 \frac{1}{7} cm](/tpl/images/0678/4284/a83e8.png)
Length of aluminium strip =![\frac{50}{7} cm](/tpl/images/0678/4284/22e4c.png)
Breadth of aluminium strip =![1 \frac{3}{7} cm](/tpl/images/0678/4284/cc26f.png)
Breadth of aluminium strip =![\frac{10}{7} cm](/tpl/images/0678/4284/be624.png)
Area of strip =![Length \times Breadth = \frac{50}{7} \times \frac{10}{7} =\frac{500}{49}](/tpl/images/0678/4284/02580.png)
Diameter of circle =![1 \frac{3}{7} cm](/tpl/images/0678/4284/cc26f.png)
Diameter of circle =![\frac{10}{7} cm](/tpl/images/0678/4284/be624.png)
Radius of circle =![\frac{10}{ 7 \times 2}=\frac{10}{14} cm](/tpl/images/0678/4284/25bb7.png)
Area of circle =![\pi r^2 = \frac{22}{7} \times (\frac{10}{14})^2=\frac{550}{343} cm^2](/tpl/images/0678/4284/c4626.png)
No. of circles can be cut =![\frac{\frac{500}{49}}{\frac{550}{343}}=6.3636](/tpl/images/0678/4284/4cde4.png)
So,Nancy can cut 6 full circles
Ответ: