Degrees to Gradians Converter
1 ° equals 1.1111111 grad, and 1 grad equals 0.9 °. Enter a value in either box to convert degrees to gradians and back. Formula: radians = degrees x pi / 180; 1 turn = 360 degrees = 400 gradians = 2 pi radians.
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1 ° = 1.1111111 grad
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Degrees to Gradians Conversion Table
| Degrees | Gradians |
|---|---|
| 1 ° | 1.1111111 grad |
| 15 ° | 16.666667 grad |
| 30 ° | 33.333333 grad |
| 45 ° | 50 grad |
| 60 ° | 66.666667 grad |
| 90 ° | 100 grad |
| 180 ° | 200 grad |
| 270 ° | 300 grad |
| 360 ° | 400 grad |
Gradians to Degrees Conversion Table
| Gradians | Degrees |
|---|---|
| 1 grad | 0.9 ° |
| 15 grad | 13.5 ° |
| 30 grad | 27 ° |
| 45 grad | 40.5 ° |
| 60 grad | 54 ° |
| 90 grad | 81 ° |
| 180 grad | 162 ° |
| 270 grad | 243 ° |
| 360 grad | 324 ° |
Worked example: 15 ° = 16.666667 grad. 180 degrees is pi radians (3.14159). A bearing of 45 degrees is 0.7854 radians, or 50 gradians.
Need other units? Open the full Angle Converter.
Popular Angle Conversions
Formula
radians = degrees x pi / 180; 1 turn = 360 degrees = 400 gradians = 2 pi radiansUnderstanding Angle Conversion
An angle can be measured in degrees, where a full circle is 360, in radians, where a full circle is 2 pi, or in gradians, where a full circle is 400. Radians are the natural unit in mathematics and physics because they make formulas such as arc length equal to radius times angle. Arcminutes and arcseconds are 1/60 and 1/3600 of a degree and are used in navigation and astronomy.
Tips and Best Practices
- 1Multiply degrees by 0.017453 to get radians; multiply radians by 57.2958 to get degrees.
- 2A right angle is 90 degrees, pi/2 radians or 100 gradians.
- 3Set your calculator to the right angle mode before using sine or cosine.
Real-World Example
180 degrees is pi radians (3.14159). A bearing of 45 degrees is 0.7854 radians, or 50 gradians.
Common Mistakes to Avoid
- Leaving a calculator in degree mode when the formula expects radians.
- Confusing arcminutes with minutes of time.
- Treating gradians as degrees; a gradian is 0.9 degrees.
How to Use
- Type a number in the Degrees box.
- The Gradians result appears instantly; you can also edit the Gradians box to convert backwards.
- Use the swap button to reverse the direction and Copy result to copy the answer.
Frequently Asked Questions
How many gradians are in 1 °?
How many degrees are in 1 grad?
What is the formula to convert degrees to gradians?
How many degrees in a full circle?
Sources: BIPM SI Brochure (radian; degree, arcminute, arcsecond as accepted units).