Convert Degree to Gradian (deg to grad)
Instant precision conversion from Degree (deg) to Gradian (grad) in Angle.
⚡ Direct Answer: 1 deg to grad
1 Degree (deg) equals approximately 1.111111 Gradian (grad).
To convert from Degree to Gradian, multiply the quantity by approximately 1.111111 (or divide by approximately 0.9).
📐 How Degree (deg) and Gradian (grad) Relate
In metrology, angle quantifies planar angular separation and circular rotation. Within this domain, Degree (deg) and Gradian (grad) originate from Sexagesimal degrees (360°), radians ($2\pi$), gradians (400 gon), and arcminutes. Standardized under ISO 80000-3 with $\pi$ radians spanning a 180-degree half-circle.
Because both Degree and Gradian belong to the linear angle domain, conversion between them is strictly proportional. The exact conversion factor (1.11111111) guarantees zero precision drift across mathematical calculations.
🎯 Common Practical Applications
Civil Surveying & Cadastral Mapping
Converting property boundary bearings for European surveying instruments utilizing the 400-gradian circle.
Underground Tunneling & Mining Alignment
Guiding underground laser tunneling and mining boring machines calibrated in grads.
Geodetic Triangulation & Artillery Metrology
Interpreting European topographic surveying charts and specialized artillery sights.
Reverse Conversion Option
Need to convert other angle units? Explore all combinations in the full Angle converter.
Degree to Gradian Conversion Table (1 to 1000)
| Degree (deg) | Gradian (grad) | Gradian (grad) | Degree (deg) |
|---|---|---|---|
| 1 deg | 1.111111 grad | 1 grad | 0.9 deg |
| 2 deg | 2.222222 grad | 2 grad | 1.8 deg |
| 3 deg | 3.333333 grad | 3 grad | 2.7 deg |
| 5 deg | 5.555556 grad | 5 grad | 4.5 deg |
| 10 deg | 11.111111 grad | 10 grad | 9 deg |
| 15 deg | 16.666667 grad | 15 grad | 13.5 deg |
| 20 deg | 22.222222 grad | 20 grad | 18 deg |
| 25 deg | 27.777778 grad | 25 grad | 22.5 deg |
| 50 deg | 55.555556 grad | 50 grad | 45 deg |
| 75 deg | 83.333333 grad | 75 grad | 67.5 deg |
| 100 deg | 111.111111 grad | 100 grad | 90 deg |
| 250 deg | 277.777778 grad | 250 grad | 225 deg |
| 500 deg | 555.555556 grad | 500 grad | 450 deg |
| 1000 deg | 1111.111111 grad | 1000 grad | 900 deg |
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Frequently Asked Questions
How many Gradian in 1 Degree?
1 Degree (deg) equals approximately 1.111111 Gradian (grad). 1 Gradian (grad) equals exactly 0.9 Degree (deg). Formula: deg = grad × 0.9.
How to convert Degree to Gradian?
To convert from Degree to Gradian, multiply the quantity by approximately 1.111111 (or divide by approximately 0.9). Mathematical formula: grad ≈ deg × 1.11111111.
What is an example calculation converting Degree to Gradian?
To convert 10 Degree to Gradian: multiply 10 by the conversion factor 1.111111 to get approximately 11.1111 Gradian (grad).
How to convert back from Gradian to Degree?
To convert from Gradian to Degree, multiply by the inverse factor 0.9 (or divide by 1.111111). Formula: deg = grad × 0.9.