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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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