If Δ is angle of deflection of a simple curve of radius R, the length of the curve is

This question was previously asked in
TN TRB Civil 2012 Paper
View all TN TRB CE Papers >
  1. \(\frac{{{\rm{\pi R\Delta }}}}{{90}}\)
  2. \(\frac{{{\rm{\pi R\Delta }}}}{{180}}\)
  3. \(\frac{{{\rm{\pi R\Delta }}}}{{270}}\)
  4. \(\frac{{{\rm{\pi R\Delta }}}}{{360}}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{{{\rm{\pi R\Delta }}}}{{180}}\)

Detailed Solution

Download Solution PDF

Explanation:

Length of the curve of radius R and deflection angle Δ is given by:

\({\rm{L}} = \frac{{2{\rm{\pi R}}}}{{360}} \times {\rm{\Delta }} = \frac{\pi R}{180}\times \Delta\)

Where,

R = Radius of curve in “km”, Δ = Deflection angle, and L = Length of the curve,

It can be concluded from the above expression that:

∴ Length of the curve is directly proportional to the radius of curve as well as deflection angle of curve.

Latest TN TRB CE Updates

Last updated on Jul 9, 2025

-> The Teachers Recruitment Board of Tamil Nadu (TN TRB) is soon going to release the official notification for the TN TRB CE Recruitment.

-> The TN TRB released a total of 1958 vacancies for the last recruitment cycle. It is expected that the board will release more vacancies for this year.

-> The selection process includes two stages i.e Computer Based Test and Certificate Verification.

->Candidates can refer to the TN TRB CE Previous Year Papers to increase their chances of selection for the CE post.

Get Free Access Now
Hot Links: teen patti jodi teen patti gold download teen patti master 2024 lotus teen patti teen patti master 2023