How to convert gradians to milliradians
mrad = gon × 15.70796327Multiply the value in gradians by 15.70796327. To go the other way, multiply by 0.06366197724 (or divide by 15.70796327).
A gradian is larger than a milliradian: one gradian contains 15.70796327 milliradians.
Worked examples
- 1 gradian1 gon × 15.70796327 = 15.70796327 mrad
- 5 gradians5 gon × 15.70796327 = 78.53981634 mrad
- 10 gradians10 gon × 15.70796327 = 157.0796327 mrad
- 20 gradians20 gon × 15.70796327 = 314.1592654 mrad
- 100 gradians100 gon × 15.70796327 = 1,570.796327 mrad
Gradians to milliradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Gradians (gon) | Milliradians (mrad) |
|---|---|
| 0.1 gon | 1.5707963 mrad |
| 0.25 gon | 3.9269908 mrad |
| 0.5 gon | 7.8539816 mrad |
| 1 gon | 15.707963 mrad |
| 2 gon | 31.415927 mrad |
| 3 gon | 47.12389 mrad |
| 4 gon | 62.831853 mrad |
| 5 gon | 78.539816 mrad |
| 6 gon | 94.24778 mrad |
| 7 gon | 109.95574 mrad |
| 8 gon | 125.66371 mrad |
| 9 gon | 141.37167 mrad |
| 10 gon | 157.07963 mrad |
| Gradians (gon) | Milliradians (mrad) |
|---|---|
| 12 gon | 188.49556 mrad |
| 15 gon | 235.61945 mrad |
| 20 gon | 314.15927 mrad |
| 25 gon | 392.69908 mrad |
| 30 gon | 471.2389 mrad |
| 40 gon | 628.31853 mrad |
| 50 gon | 785.39816 mrad |
| 75 gon | 1,178.0972 mrad |
| 100 gon | 1,570.7963 mrad |
| 250 gon | 3,926.9908 mrad |
| 500 gon | 7,853.9816 mrad |
| 1,000 gon | 15,707.963 mrad |
About the units
Gradian (gon)
One 400th of a turn, so a right angle is 100 gon. Used in surveying in some countries. One gradian equals 0.01570796327 radians (rad).
Milliradian (mrad)
The milliradian (mrad) is a unit of angle in the International System of Units (SI). One milliradian equals 0.001 radians (rad).
Frequently asked questions
How many milliradians are in one gradian?
There are 15.70796327 milliradians in one gradian, and this value is exact by definition.
How do I convert gradians to milliradians?
Multiply the number of gradians by 15.70796327. For example, 10 gon × 15.70796327 = 157.0796327 mrad.
How many gradians are in one milliradian?
One milliradian equals 0.06366197724 gradians. That is the reverse factor, 1 ÷ 15.70796327.
What is 10 gradians in milliradians?
10 gon = 157.0796327 mrad.
Is this gon to mrad converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.