Question

The length of the tangent of a simple circular curve of radius $R$ and angle of deflection $\Delta$ is given by

• A. \( R \sin \frac{\Delta}{2} \)
• B. \( R \cos \frac{\Delta}{2} \)
• C. \( R \tan \frac{\Delta}{2} \)
• D. \( \tan \frac{\Delta}{2} \)

Hint:

Tangent length formula: \( T = R \tan \frac{\Delta}{2} \) in circular curves.

Answer 1

The Correct Option is C

The length of tangent \( T \) in a simple circular curve is given by \( T = R \tan \frac{\Delta}{2} \), where \( R \) is radius and \( \Delta \) is deflection angle.