Gradians to Degrees (grad to °) Converter
1 gradian (grad) = 0.9 degrees (°). To convert gradians to degrees, multiply by 0.9: 25 grad × 0.9 = 22.5 °.
Quick facts
- 1 grad = 0.9 °
- 1 ° = 1.11111 grad
- Formula: ° = grad × 0.9
- Quick estimate: multiply by about 0.9
How to convert gradians to degrees
- Take the value in gradians.
- Multiply it by 0.9 (the number of degrees in one gradian).
- Round the result to the precision you need.
Worked example: 25 grad × 0.9 = 22.5 °.
To convert degrees back to gradians, multiply by 1.11111, or divide by 0.9.
Source: BIPM SI Brochure, 9th edition (the radian).
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 ° |
grad to ° chart from 1 to 100
- 1 grad 0.9 °
- 2 grad 1.8 °
- 3 grad 2.7 °
- 4 grad 3.6 °
- 5 grad 4.5 °
- 6 grad 5.4 °
- 7 grad 6.3 °
- 8 grad 7.2 °
- 9 grad 8.1 °
- 10 grad 9 °
- 11 grad 9.9 °
- 12 grad 10.8 °
- 13 grad 11.7 °
- 14 grad 12.6 °
- 15 grad 13.5 °
- 16 grad 14.4 °
- 17 grad 15.3 °
- 18 grad 16.2 °
- 19 grad 17.1 °
- 20 grad 18 °
- 25 grad 22.5 °
- 30 grad 27 °
- 35 grad 31.5 °
- 40 grad 36 °
- 45 grad 40.5 °
- 50 grad 45 °
- 55 grad 49.5 °
- 60 grad 54 °
- 65 grad 58.5 °
- 70 grad 63 °
- 75 grad 67.5 °
- 80 grad 72 °
- 85 grad 76.5 °
- 90 grad 81 °
- 95 grad 85.5 °
- 100 grad 90 °
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 |
Gradians vs Degrees
| Gradian | Degree | |
|---|---|---|
| Symbol | grad | ° |
| Equals | 1 grad = 0.9 ° | 1 ° = 1.11111 grad |
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.
What is a degree?
One 360th of a full rotation. The everyday unit for angles in geometry, navigation, and construction.
Frequently asked questions
How many degrees are in a gradian?
There are 0.9 degrees in 1 gradian (1 grad = 0.9 °).
How many gradians are in a degree?
There are 1.11111 gradians in 1 degree (1 ° = 1.1111111111 grad).
How do I convert gradians to degrees?
Multiply the number of gradians by 0.9. For example, 10 grad × 0.9 = 9 °. To convert back, multiply by 1.11111.
What is 10 grad in degrees?
10 grad = 9 °.
What is 100 grad in degrees?
100 grad = 90 °.
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.
Related conversions
Popular angle conversions
- Degrees to Radians
- Radians to Degrees
- Degrees to Gradians
- Arcminutes to Degrees
- Arcseconds to Degrees
- Degrees to Arcminutes
Convert gradians to other units
Convert other units to degrees
Open the full angle converter with every unit →