Question 142 Shaline has to cut out circles of diameter 114cm from an aluminium strip of dimensions 834cm by 114cm. How many full circles can Shalini cut? Also, calculate the wastage of the aluminium strip.
Breadth of the circle = Diameter of one circle =114cm=54cm
Length of aluminium strip =834cm=354cm
∴ Number of full circles cut from the aluminium strip =354÷54=354×45=7
Hence, we can cut 7 full circles from given aluminium strip.
Now diameter of circle =54cm
Radius of circle =54×2=58cm
Now, area to be cut by one circle =πr2=227×(58)2 =227×2564cm2
∴ Area to be cut by 7 full circles =7×227×2564=22×2564
Also, area of the aluminium strip = Length * Breadth =354×54cm2