What is the degree of curve? Derive the relationship between radius and degree of curve.
Degree of curve
The degree of the curve is the angle subtended at the center by a standard chord of 30 m length.
Relationship between radius and degree of curve.
Referring Fig
Let R = the radius of the curve in m.
D = the degree of cuve.
MN = the chord 30 m long.
P = Mid point of chord MN
In OMP, OM = R, PM = ½ MN = 15 m.
Then sin D/2 = PM/OM = 15/R