Answer: B. 2R sin Δ/2
In a circular curve, the length of a long chord is equal to 2R sin Δ/2.
Solution
- 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.
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