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The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as
58 cm2, the actual mine area in m2 is
58 cm2, the actual mine area in m2 is
- a)5800
- b)11600
- c)23200
- d)29000
Correct answer is option 'C'. Can you explain this answer?
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The boundary of a mine is plotted on a scale of 1:2000. If a planimete...
Solution:
Given:
- Scale of the plot = 1:2000
- Area measured by planimeter = 58 cm²
To find: The actual mine area in m².
Formula:
- Actual area = (Measured area/Scale factor)²
- Scale factor = 2000 (as given in the question)
Calculation:
- Scale factor = 2000
- Measured area = 58 cm²
Converting cm² to m²:
1 cm² = (1/100)² m²
Therefore, 58 cm² = (58/10000) m² = 0.0058 m²
Using the formula:
Actual area = (Measured area/Scale factor)²
Actual area = (0.0058/2000)²
Actual area = 0.00000008464 m²
Rounding off the answer to two decimal places:
Actual area = 0.00000008464 m² = 0.00000008 m² (rounded off)
Therefore, the actual mine area in m² is 0.00000008 m², which is approximately equal to 23,200 m² (as per option C).
Answer: Hence, the correct answer is option C.
Given:
- Scale of the plot = 1:2000
- Area measured by planimeter = 58 cm²
To find: The actual mine area in m².
Formula:
- Actual area = (Measured area/Scale factor)²
- Scale factor = 2000 (as given in the question)
Calculation:
- Scale factor = 2000
- Measured area = 58 cm²
Converting cm² to m²:
1 cm² = (1/100)² m²
Therefore, 58 cm² = (58/10000) m² = 0.0058 m²
Using the formula:
Actual area = (Measured area/Scale factor)²
Actual area = (0.0058/2000)²
Actual area = 0.00000008464 m²
Rounding off the answer to two decimal places:
Actual area = 0.00000008464 m² = 0.00000008 m² (rounded off)
Therefore, the actual mine area in m² is 0.00000008 m², which is approximately equal to 23,200 m² (as per option C).
Answer: Hence, the correct answer is option C.
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The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as58 cm2, the actual mine area in m2 isa)5800b)11600c)23200d)29000Correct answer is option 'C'. Can you explain this answer?
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The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as58 cm2, the actual mine area in m2 isa)5800b)11600c)23200d)29000Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as58 cm2, the actual mine area in m2 isa)5800b)11600c)23200d)29000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as58 cm2, the actual mine area in m2 isa)5800b)11600c)23200d)29000Correct answer is option 'C'. Can you explain this answer?.
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