Horizontal Curve Calculator

Enter the deflection angle (delta) and radius to compute all horizontal curve elements.

Input Method

Radius (ft)

Deflection Angle, Delta (degrees)

PI Station (optional, ft)

Curve Length

Radius

Tangent Length (T)

Mid-Ordinate (M)

External Distance (E)

Long Chord (LC)

Degree of Curve

PC Station

PT Station

Horizontal Curve Formulas

T = R * tan(Delta/2)

L = R * Delta (in radians)

M = R * (1 - cos(Delta/2))

E = R * (1/cos(Delta/2) - 1)

LC = 2 * R * sin(Delta/2)

D = 5729.578 / R (arc definition)

Vertical curve design.

Closed traverse computation.

Stakeout coordinates.

GPS distance & bearing.

Slope conversions.

Total station calcs.