Radians to Gradians Converter
Enter a value to instantly convert between angle units.
1 Radian = 63.662 Gradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
gradians = radians × (200 ÷ π)Physics and robotics systems output angles in radians; European surveying software, many theodolites, and some older scientific calculators operate in gradians. When a site engineer receives calculated bearing angles from a structural analysis program (in radians) and must enter them into a gradian-mode total station, this conversion bridges the gap. It also appears when GIS systems export polygon angles in radians and the planning office's software expects gradians.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
π/2 radians (right angle) — exactly 100 grad, confirming the theodolite is square to the baseline when it reads 100.00.
1.5708 rad = 100 grad
One radian — 63.66 grad, the conversion reference when a surveying calculation produces a 1-radian bearing from a mathematical formula.
1 rad = 63.66 grad
π radians (straight line) — 200 grad, the bearing for the back-bearing of a traverse leg (pointing opposite direction).
3.1416 rad = 200 grad
π/4 radians — 50 grad, a 45° diagonal bearing expressed in gradian mode on a European total station.
0.7854 rad = 50 grad