Quick Answer
1 gradian equals 0.9 degrees. To convert gradians to degrees, multiply the value by this factor.
Key Facts
- Reverse: 1 degree = 1.11111 gradians.
Gradians to Degrees Converter
Free instant grad → ° converter. No signup, no uploads — everything is calculated privately in your browser.
1 grad = 0.9 degrees
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Gradians to Degrees Formula
Formula: value ÷ 1.11111
Prefer to skip the math? Type any value in the converter above and it converts instantly.
Gradians to Degrees Conversion Table
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 25 grad | 22.5 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
| 250 grad | 225 ° |
| 500 grad | 450 ° |
| 1,000 grad | 900 ° |
Frequently Asked Questions
How do I convert gradians to degrees?
Enter the value above and the result appears instantly — the calculation runs entirely in your browser. Formula: value ÷ 1.11111.
What is the exact gradians to degrees conversion factor?
1 gradian = 0.9 degrees (shown to 6 significant figures — the converter itself computes at full precision). The reverse factor is 1 degree = 1.11111 gradians.
What are some common gradians to degrees conversions?
1 grad = 0.9 °; 10 grad = 9 °; 100 grad = 90 °. Use the full conversion table below for more reference values.
Why are there 400 gradians in a circle instead of 360 degrees?
The gradian was defined during the French metrication effort so a right angle equals exactly 100 gradians, making a full turn 400 — nicer for decimal math, less aligned with astronomy and timekeeping (360 divides evenly by 2, 3, 4, 5, 6, 8, 9, 10, 12…). Engineering in most countries still uses degrees; gradians survive mainly in surveying and some European calculators.
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