Simran has to cut out circles of diameter 5/4cm from an aluminium strip of dimensions 35/4cm by 5/4 cm.How many full circles can Simran cut?
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Answer:
Step-by-step explanation:
Given Simran had to cut out circle of 5/4 cm am aluminium strip dimensions 35/4 cm by 5/4 cm how many full will Simran cut ?also find the wastage of the aluminum strip
Assume diameter of the required circle = 5/4 cm
Aluminium strip dimension = 35/4 x 5/4 cm
So number of circles which can be cut = 35/4 / 5/4 = 7
So maximum number of circles will be 7
Now area of rectangle = 35/4 x 5/4 sq cm
= 175/16 sq cm
We know that Area of one circle = π r^2
= π (d/2)^2
= π d^2 / 4
= π/4 (5/4)^2
= 25 π/64
So area of 7 circles will be 7 x 25 π/64
= 25 x 11 / 32
= 275 /32 sq cm = 8.593
Now coming to wastage
Wastage = 175/16 - 275/32
= 75/32
= 2.34 sq cm
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Answer:
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Given Simran had to cut out circle of 5/4 cm am aluminium strip dimensions 35/4 cm by 5/4 cm how many full will Simran cut ?also find the wastage of the aluminum strip
Assume diameter of the required circle = 5/4 cm
Aluminium strip dimension = 35/4 x 5/4 cm
So number of circles which can be cut = 35/4 / 5/4 = 7
So maximum number of circles will be 7
Now area of rectangle = 35/4 x 5/4 sq cm
= 175/16 sq cm
We know that Area of one circle = π r^2
= π (d/2)^2
= π d^2 / 4
= π/4 (5/4)^2
= 25 π/64
So area of 7 circles will be 7 x 25 π/64
= 25 x 11 / 32
= 275 /32 sq cm = 8.593
Now coming to wastage
Wastage = 175/16 - 275/32
= 75/32
= 2.34 sq cm
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