Shalini had to cut out circles of diameter 1 1/4 cm from an aluminium ...
Calculation of Full Circles Cut
To calculate the number of full circles that Shalini can cut from the aluminium strip, we need to find out the length of the strip that is required to cut one circle. The circumference of a circle with diameter 1 1/4 cm is given as:
Circumference = π × diameter
Circumference = π × 1 1/4
Circumference = 3.925 cm (approx)
Therefore, to cut one circle, Shalini needs a strip of length 3.925 cm. Now, we need to find out how many such strips of length 3.925 cm can be cut from the aluminium strip of dimensions 8 3/4 cm by 1 1/4 cm.
Length of aluminium strip = 8 3/4 cm = 8.75 cm
Number of strips that can be cut = Length of aluminium strip / Length of one strip
Number of strips that can be cut = 8.75 / 3.925
Number of strips that can be cut = 2 (approx)
Therefore, Shalini can cut 2 full circles from the given aluminium strip.
Calculation of Wastage
To calculate the wastage of the aluminium strip, we need to find out the remaining length of the strip after cutting the full circles.
Length of aluminium strip used = 2 × Length of one strip
Length of aluminium strip used = 2 × 3.925
Length of aluminium strip used = 7.85 cm (approx)
Remaining length of aluminium strip = Total length of aluminium strip - Length of aluminium strip used
Remaining length of aluminium strip = 8.75 - 7.85
Remaining length of aluminium strip = 0.9 cm (approx)
Therefore, there is a wastage of 0.9 cm (approx) of the aluminium strip. Shalini can use this remaining strip for some other purpose.