Shalini has to cut circle of diameter 5/4 from an aluminium strip of 23/4 by 5/4 cm . How many full circle can Shalini cut.
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Diameter of the circle = Breadth of the aluminium strip 1¼ cm = 5/4 cm
Length of aluminium strip = 8¾ cm = 35/4 cm
∴The number of full circles cut from the aluminum strip
= (35/4) ÷ (5/4)
= (35/4) × (4/5)
= (7/1) × (1/1) = 7 circles
Radius of circle = (5/ (4 × 2)) = 5/8 cm
Area to be cut by one circle = πr2
= (22/7) × (5/8)2
= (22/7) × (25/64) cm2
Now, area to be cut by 7 full circles
= 7 × (22/7) × (25/64)
= (22 × 25)/64
= 550/64 cm2
Area of the aluminum strip = length × breadth
= (35/4) × (5/4) cm2
= (175/16) cm2
∴The wastage of aluminum strip
= (175/16) – (550/64)
= (700 – 550)/64
= 150/64 =
75/32 cm2
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