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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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6 votes

Answer:

Nancy can cut 6 full circles

Explanation:

Length of aluminium strip =
7 (1)/(7) cm

Length of aluminium strip =
(50)/(7) cm

Breadth of aluminium strip =
1 (3)/(7) cm

Breadth of aluminium strip =
(10)/(7) cm

Area of strip =
Length * Breadth = (50)/(7) * (10)/(7) =(500)/(49)

Diameter of circle =
1 (3)/(7) cm

Diameter of circle =
(10)/(7) cm

Radius of circle =
(10)/( 7 * 2)=(10)/(14) cm

Area of circle =
\pi r^2 = (22)/(7) * ((10)/(14))^2=(550)/(343) cm^2

No. of circles can be cut =
((500)/(49))/((550)/(343))=6.3636

So,Nancy can cut 6 full circles

User Mmmmmpie
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