The Length of a Long Chord is Equal to

By Mona Kumari|Updated : June 27th, 2022

In a circular curve, the length of a long chord is equal to-

where R is the radius of the curve and Δ is the deviation angle.

  1. R Sin Δ
  2. 2R sin Δ/2
  3. R cos Δ
  4. 2R cos Δ/2

Answer: B. 2R sin Δ/2

In a circular curve, the length of a long chord is equal to 2R sin Δ/2.

Solution

byjusexamprep

  • Length of the long chord (P1P2) =2R sinΔ/2
  • Length of tangent (P1D) =R tanΔ
  • Length of curve = πRΔ/180
  • Mid-ordinate (CE) =R (1- cos Δ/2)
  • External distance (ED) =R (sec Δ/2-1)

So, the length of a long chord is equal to 2RSin Δ/2 for a circular curve.

☛ Related Questions:

Comments

write a comment

Follow us for latest updates