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The length of a line measured with a 20 metre chain was found to be 250 metres. What is the true length of line if the chain was 10 cm too long
  • a)
    251.25 m
  • b)
    248.75 m
  • c)
    250.1 m
  • d)
    249.9 m
Correct answer is option 'A'. Can you explain this answer?
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The length of a line measured with a 20 metre chain was found to be 25...
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The length of a line measured with a 20 metre chain was found to be 25...
Solution:

To find the true length of line, we need to use the concept of chain correction.

Chain Correction:

Chain correction is the correction made to the measured length of a line due to the error in the length of the chain.

Formula:

Chain Correction = (Error in the length of the chain / Length of the chain) x Measured length of the line

Given, the length of the chain = 20 m

Measured length of the line = 250 m

Error in the length of the chain = 10 cm = 0.1 m

Chain Correction = (0.1 / 20) x 250 = 1.25 m

True length of the line = Measured length of the line - Chain Correction

True length of the line = 250 - 1.25 = 251.25 m

Therefore, the correct answer is option A, i.e., 251.25 m.
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