Question

10. Shalini has to cut out circles of diameter 1 upon 1/4 cm from an aluminium strip of dimensions 8 upon 3/4 cm .
How many full circles can Shalini cut? Also, calculate the wastage of the aluminium strip.
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Answer 1

Answer:

75/32 cm2

Step-by-step explanation:

From the question it is given that,

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