MathematicsThe sheet is 11cm long and 2cm wide. Circular pieces 0.5cm in diameter are cut from it to prepare discs. ____ is the number of discs that can be prepared.

The sheet is 11cm long and 2cm wide. Circular pieces 0.5cm in diameter are cut from it to prepare discs. ____ is the number of discs that can be prepared.


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    Solution:

    Area of sheet  =  length × breadth
    = 11×2
    =22  cm2

    Radius of the disc = d2​ 
    = 0.52​ = 0.25 cm

    Area of the disc = πr2 = 227​(0.25)2 = 1.3757 = 0.196 cm2

    Thus, number of discs = Area of SheetArea of disc = 220.196 =112 discs
      
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