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

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