# Transportation Highways Horizontal Curve Calculator

Calculate the geometric properties of the horizontal curve with the given values of intersection angle, degree of curve and point of intersection.
**Note**Horizontal curve on the road provides a transition between two tangent strips, allowing a vehicle to take a turn at a gradual rate.

## Highways Horizontal Curve - Transportation Calculation

Code to add this calci to your website

##### Formula

R = 5729.58 / D
T = R * tan ( A/2 )
L = 100 * ( A/D )
LC = 2 * R *sin (A/2)
E = R ( (1/(cos (A/2) ) ) - 1 ) )
M = R ( 1 - cos (A/2) )
PC = PI - T
PT = PC + L
,b>Where,
D = Degree of Curve, Arc Definition
1Â° = 1 Degree of Curve
2Â° = 2 Degrees of Curve
P.C. = Point of Curve
P.T. = Point of Tangent
P.I. = Point of Intersection
A = Intersection Angle, Angle between two tangents
L = Length of Curve, from P.C. to P.T.
T = Tangent Distance
E = External Distance
R = Radius
L.C. = Length of Long Chord
M = Length of Middle Ordinate
c = Length of Sub-Chord
k = Length of Arc for Sub-Chord
d = Angle of Sub-Chord
By determining the above elements such as radius, length etc using this *highways horizontal curve transportation calculator*, the geometric highways design can be made easier.