Q1: The radius of a simple circular curve is 300 m and length of its specified chord is 30 m. The degree of the curve is

ANS:A - 5.73°

The degree of the curve is 5.73 degrees.
The formula for the degree of a curve is:

Code snippet;

Degree = 1720/R.
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Where R is the radius of the curve.

In this case, R = 300 m, so the degree of the curve is:

Code snippet:
Degree = 1720/300 = 5.73 degrees. L = 2Rsin(θ/2).
Where
L= length of chord.
R= Radius of curve.
θ = Degree of curvature. C= 2R*sin{(1/2)*I}.

Where C= length of long chord.

c=30 , R=300.

=>(30/600)= sin{(1/2)*I}.
=>(1/20) = sin{(1/2)*I}.
=>I = 2*{sin^-1(1/20)}.
=>I = 5.73 Degree. R = 1718.9/D.
R: Radius of curve.
D: Degree of curve.
D = 1718.9/R.
D = 5.73°. R = 1718.9/D.
R: Radius of the curve.
D: Degree of the curve.
D = 1718.9/R.
D = 5.73 °.