Clothoid Curve Calculator

Calculate clothoid (Euler spiral) curve parameters, coordinates, and tangent angles for road transition curve design — free surveying tool

Input Mode

Parameter A (m)

Radius R (m)

Parameter Relationships

A² = R · L, τ = L / (2R)

200.000 m

400.000 m

100.000 m

Tangent Angle τ

7.1620°

0.125000 rad

Shift s

1.041085 m

End Point

X = 99.8439

Y = 4.1620

Long Tangent TL

66.7213 m

Short Tangent TS

33.3830 m

Total Tangent TT

75.0717 m

Coordinates Along Curve

l (m)	x (m)	y (m)	Curvature κ (1/m)
0.000	0.0000	0.0000	0.000000
10.000	10.0000	0.0042	0.000250
20.000	20.0000	0.0333	0.000500
30.000	29.9996	0.1125	0.000750
40.000	39.9984	0.2667	0.001000
50.000	49.9951	0.5208	0.001250
60.000	59.9879	0.8999	0.001500
70.000	69.9737	1.4288	0.001750
80.000	79.9488	2.1324	0.002000
90.000	89.9078	3.0353	0.002250
100.000	99.8439	4.1620	0.002500