Degrees to Gradians (° to grad) Converter
1 degree (°) = 1.11111 gradians (grad). To convert degrees to gradians, multiply by 1.11111: 90 ° × 1.11111 = 100 grad.
Quick facts
- 1 ° = 1.11111 grad
- 1 grad = 0.9 °
- Formula: grad = ° × 1.11111
- Quick estimate: multiply by about 1.1
How to convert degrees to gradians
- Take the value in degrees.
- Multiply it by 1.11111 (the number of gradians in one degree).
- Round the result to the precision you need.
Worked example (a right angle): 90 ° × 1.11111 = 100 grad.
To convert gradians back to degrees, multiply by 0.9, or divide by 1.11111.
Source: BIPM SI Brochure, 9th edition (the radian).
Degrees to Gradians conversion table
| Degrees [°] | Gradians [grad] |
|---|---|
| 0.01 ° | 0.0111111111 grad |
| 0.1 ° | 0.1111111111 grad |
| 1 ° | 1.1111111111 grad |
| 2 ° | 2.2222222222 grad |
| 3 ° | 3.3333333333 grad |
| 5 ° | 5.5555555556 grad |
| 10 ° | 11.1111111111 grad |
| 20 ° | 22.2222222222 grad |
| 50 ° | 55.5555555556 grad |
| 100 ° | 111.1111111111 grad |
| 1000 ° | 1111.1111111111 grad |
° to grad chart from 1 to 100
- 1 ° 1.11111 grad
- 2 ° 2.22222 grad
- 3 ° 3.33333 grad
- 4 ° 4.44444 grad
- 5 ° 5.55556 grad
- 6 ° 6.66667 grad
- 7 ° 7.77778 grad
- 8 ° 8.88889 grad
- 9 ° 10 grad
- 10 ° 11.1111 grad
- 11 ° 12.2222 grad
- 12 ° 13.3333 grad
- 13 ° 14.4444 grad
- 14 ° 15.5556 grad
- 15 ° 16.6667 grad
- 16 ° 17.7778 grad
- 17 ° 18.8889 grad
- 18 ° 20 grad
- 19 ° 21.1111 grad
- 20 ° 22.2222 grad
- 25 ° 27.7778 grad
- 30 ° 33.3333 grad
- 35 ° 38.8889 grad
- 40 ° 44.4444 grad
- 45 ° 50 grad
- 50 ° 55.5556 grad
- 55 ° 61.1111 grad
- 60 ° 66.6667 grad
- 65 ° 72.2222 grad
- 70 ° 77.7778 grad
- 75 ° 83.3333 grad
- 80 ° 88.8889 grad
- 85 ° 94.4444 grad
- 90 ° 100 grad
- 95 ° 105.556 grad
- 100 ° 111.111 grad
Gradians to Degrees conversion table
| Gradians [grad] | Degrees [°] |
|---|---|
| 0.01 grad | 0.009 ° |
| 0.1 grad | 0.09 ° |
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 3 grad | 2.7 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 20 grad | 18 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
| 1000 grad | 900 ° |
Degrees vs Gradians
| Degree | Gradian | |
|---|---|---|
| Symbol | ° | grad |
| Equals | 1 ° = 1.11111 grad | 1 grad = 0.9 ° |
What is a degree?
One 360th of a full rotation. The everyday unit for angles in geometry, navigation, and construction.
What is a gradian?
One 400th of a full rotation, so a right angle is 100 gradians. Used in some surveying and European engineering contexts.
Frequently asked questions
How many gradians are in a degree?
There are 1.11111 gradians in 1 degree (1 ° = 1.1111111111 grad).
How many degrees are in a gradian?
There are 0.9 degrees in 1 gradian (1 grad = 0.9 °).
How do I convert degrees to gradians?
Multiply the number of degrees by 1.11111. For example, 10 ° × 1.11111 = 11.1111 grad. To convert back, multiply by 0.9.
What is 10 ° in gradians?
10 ° = 11.1111 grad.
What is 100 ° in gradians?
100 ° = 111.111 grad.
Is the conversion exact?
Yes. The factor comes from the official definitions of both units (BIPM SI Brochure, 9th edition (the radian)). Results are shown to up to 10 decimal places; round them to suit your purpose.
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