Degrees to Gradians Converter
Enter a value to instantly convert between angle units.
1 Degree = 1.1111 Gradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
gradians = degrees × (10 ÷ 9)Land surveyors in France, Germany, and across much of Europe use gradians (also called gons) because 100 grad = exactly 90° — a right angle is a round number. When a theodolite is set to gradian mode, reading perpendicularity checks is trivial: 100.00 grad means exactly square. Engineers receiving a surveying report in gradians and needing to work in degrees — for a bearing calculation, a CAD entry, or a trig formula — do this conversion daily.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
A 45° diagonal line on an architectural plan — expressed as 50 grad on a European surveying instrument for easy confirmation of the 45° angle.
45 ° = 50 grad
A building corner verified as 100 grad on the theodolite — confirming the right angle without needing to check whether 90.0° displayed correctly.
90 ° = 100 grad
A 135° interior angle in a land parcel — 150 grad on the survey instrument, a clean decimal that's easy to record and transmit.
135 ° = 150 grad
A full bearing circuit closure — 400 grad, the total that a theodolite loop must sum to when checking surveying accuracy.
360 ° = 400 grad