gradian to milliradian
Convert gradian (gon) to milliradian (mrad). Use an editable angle converter, conversion formula, and reference table.
1 gon = 15.70796327 mrad
Conversion formula
One gradian equals 15.70796327 milliradian. Multiply your value in gradian by this factor to get milliradian. For the reverse conversion, divide by the same factor.
Worked example
To convert 5 gradian:5 × 15.70796327 = 78.53981634 mrad
Conversion table
| gradian (gon) | milliradian (mrad) |
|---|---|
| 0.01 | 0.1570796327 |
| 0.1 | 1.570796327 |
| 1 | 15.70796327 |
| 2 | 31.41592654 |
| 5 | 78.53981634 |
| 10 | 157.0796327 |
| 25 | 392.6990817 |
| 50 | 785.3981634 |
| 100 | 1,570.796327 |
| 1000 | 15,707.96327 |
About these measurements
An angle describes rotation between directions.
The base reference used here is the radian. One gradian is 0.01570796327 base units; one milliradian is 0.001 base units.
Important distinctions
A full turn is 360 degrees or 2π radians. Signed angles are permitted.
Precision
The converter uses stored conversion factors and floating-point arithmetic. Results display up to ten significant digits, switching to scientific notation for very small or large values. Keep the precision of your original measurement when reporting results.
Common questions
How do I convert gon to mrad?
Multiply the quantity in gon by 15.70796327. You can also type the value into the converter above.
Can I reverse the conversion?
Yes. Use the swap button or open the milliradian to gradian converter.
Reference
NIST Guide to the SI — conversion factors and prefix conventions. SI prefixes scale units by powers of ten; the dimension-specific notes above describe the assumptions used on this page.
