Gradian to Turn Converter
Convert gradian to turn instantly. 1 gradian = 0.0025 turn.
Gradian to Turn Table
| Gradian | Turn |
|---|---|
| 1 grad | 0.0025 turn |
| 5 grad | 0.0125 turn |
| 10 grad | 0.025 turn |
| 30 grad | 0.075 turn |
| 45 grad | 0.1125 turn |
| 90 grad | 0.225 turn |
| 180 grad | 0.45 turn |
| 360 grad | 0.9 turn |
Related Conversions
Quick Answer
Formula: Turn = Gradian × 0.0025
Multiply any gradian value by 0.0025 to get turn.
Reverse: Gradian = Turn × 400
Worked Examples
Gradian to Turn Conversion Table
Common gradian values — factor: 1 grad = 0.0025 turn
| Gradian (grad) | Turn (turn) | Context |
|---|---|---|
| 1 grad | 0.0025 turn | 1 grad |
| 5 grad | 0.0125 turn | 5 grad |
| 10 grad | 0.025 turn | 10 grad |
| 25 grad | 0.0625 turn | 22.5° |
| 50 grad | 0.125 turn | 45° |
| 100 grad | 0.25 turn | 90° right angle |
| 150 grad | 0.375 turn | 135° |
| 200 grad | 0.5 turn | 180° half circle |
| 250 grad | 0.625 turn | 225° |
| 300 grad | 0.75 turn | 270° |
| 400 grad | 1 turn | 360° full circle |
| 800 grad | 2 turn | Two circles |
| 1200 grad | 3 turn | Three circles |
| 2000 grad | 5 turn | Five circles |
| 4000 grad | 10 turn | Ten circles |
Mental Math Tricks
1 grad = 0.0025 turn. Memorize for instant estimates.
Right angle: 90° = 0.25 turn.
Multiply result by 400 to recover the original grad value.
Who Uses This Conversion?
Uses gradians for land surveying in France, Sweden, and other European countries.
Applies gradians in road gradient calculations where 100 grad = right angle is convenient.
Works with national coordinate systems in countries that standardized on gradians.
Uses gradians in French topographic mapping traditions.
Applies gradians for dip and strike measurements in some European mining standards.
Uses gradians in some European military targeting and range calculation systems.
Related Conversions
Frequently Asked Questions
About Gradian and Turn
Gradian (grad)
The gradian (also called gon or grade) divides a full circle into 400 equal parts, so a right angle equals exactly 100 gradians. It was introduced during the French Revolution as part of the decimal metric system reform in the 1790s.
Gradians are used primarily in surveying, civil engineering, and some European geodetic systems. The advantage: since a right angle = 100 grad, slope percentages and bearing calculations involve simple arithmetic.
Interesting fact: France briefly mandated decimal angles (gradians) in the 1790s alongside the metric system, but the gradian never achieved the same global adoption as the meter and kilogram.
Turn (turn)
A turn (also called revolution or cycle) represents one complete 360° rotation. It is the most intuitive angle unit — zero ambiguity about what constitutes 'one full rotation.'
Turns are used in mechanics (RPM = revolutions per minute), engineering (screw thread pitch expressed in turns per inch), and signal processing. The number τ (tau = 2π ≈ 6.2832) represents one turn in radians — some mathematicians advocate using τ instead of π for clarity.
Interesting fact: The tau movement in mathematics argues that using τ = 2π = one full turn would make formulas like Euler's identity and Fourier transforms more intuitive than using π = half-turn.
About Gradian to Turn Conversion
Converting gradian to turn is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 0.25 turn. A full circle (360°) = 1 turn. Reverse: 1 turn = 400 grad. Exact factor: 1 grad = 0.0025 turn.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.