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Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet?
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Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diam...
Calculation of Circular Pieces and Remaining Portion of Sheet
Number of Circular Pieces Cut Out:
- Given that each circular piece has a diameter of 1.5 m, we can calculate the radius by dividing the diameter by 2.
- Radius = 1.5 m / 2 = 0.75 m
- Area of each circular piece = πr^2 = π(0.75)^2 = 1.77 m^2
To calculate the number of circular pieces that can be cut out from the sheet:
- Total area of the sheet = Length x Width = 11 cm x 4 cm = 44 cm^2 = 0.44 m^2
- Number of circular pieces = Total area of the sheet / Area of each circular piece
- Number of circular pieces = 0.44 m^2 / 1.77 m^2 ≈ 0.25
Since we cannot have a fraction of a circular piece, we can cut out 0 circular pieces.
Area of Remaining Portion of Sheet:
- Total area of circular pieces cut out = Number of circular pieces x Area of each circular piece
- Total area of circular pieces cut out = 0 x 1.77 m^2 = 0 m^2
Therefore, the area of the remaining portion of the sheet is equal to the total area of the sheet:
- Area of remaining portion = Total area of the sheet = 0.44 m^2
In conclusion, no circular pieces can be cut out from the given sheet, and the remaining portion of the sheet has an area of 0.44 m^2.
Number of Circular Pieces Cut Out:
- Given that each circular piece has a diameter of 1.5 m, we can calculate the radius by dividing the diameter by 2.
- Radius = 1.5 m / 2 = 0.75 m
- Area of each circular piece = πr^2 = π(0.75)^2 = 1.77 m^2
To calculate the number of circular pieces that can be cut out from the sheet:
- Total area of the sheet = Length x Width = 11 cm x 4 cm = 44 cm^2 = 0.44 m^2
- Number of circular pieces = Total area of the sheet / Area of each circular piece
- Number of circular pieces = 0.44 m^2 / 1.77 m^2 ≈ 0.25
Since we cannot have a fraction of a circular piece, we can cut out 0 circular pieces.
Area of Remaining Portion of Sheet:
- Total area of circular pieces cut out = Number of circular pieces x Area of each circular piece
- Total area of circular pieces cut out = 0 x 1.77 m^2 = 0 m^2
Therefore, the area of the remaining portion of the sheet is equal to the total area of the sheet:
- Area of remaining portion = Total area of the sheet = 0.44 m^2
In conclusion, no circular pieces can be cut out from the given sheet, and the remaining portion of the sheet has an area of 0.44 m^2.
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Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet?
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Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet?.
Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sheet of 11 cm long and 4 cm wide circular peace each of 1.5 m in diameter are cut from it .calculate the number of circular peace cut out and area of remaining portion of sheet?.
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