Mathematics
How many circular discs, each of 4 cm radius, can be cut from the rectangular metal sheet with dimensions :
(i) 75 cm and 48 cm
(ii) 64 cm and 60 cm
Mensuration
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Answer
(i) Given:
Rectangular sheet dimensions: Length = 75 cm, Width = 48 cm
Radius of each circular disc = 4 cm
⇒ Diameter of each disc = 2 × 4 = 8 cm
Number of discs that fit along the length = = 9 discs
Number of discs that fit along the width = = 6 discs
Total number of discs = 9 x 6 = 54
Hence, total number of discs = 54.
(ii) Given:
Rectangular sheet dimensions: Length = 64 cm, Width = 60 cm
Radius of each circular disc = 4 cm
⇒ Diameter of each disc = 2 × 4 = 8 cm
Number of discs that fit along the length = = 8 discs
Number of discs that fit along the width = = 7 discs (As we cannot take 7.5 discs)
Total number of discs = 8 x 7 = 56
Hence, total number of discs = 56.
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