Convert Milliarcsecond to Gradian
Enter the number of milliarcseconds that you want to convert to gradians.
How to Convert Milliarcseconds to Gradians
The milliarcsecond and gradian are both units of angle. 1 gradian equals 3239997.408 milliarcseconds. This means to convert milliarcseconds to gradians, you divide by 3239997.408.
Formula
Step-by-Step Example
Convert 5 mas to gradians:
We need to convert milliarcseconds to gradians
Since 1 grad = 3239997.408 mas, divide by 3239997.408
5 ÷ 3239997.408 = 1.5432111111e-6
5 mas = 1.5432111111e-6 grad
Milliarcsecond to Gradian Conversion Table
Quick reference table for common milliarcsecond to gradian conversions. Click any value for detailed calculation.
| Milliarcseconds (mas) | Gradians (grad) |
|---|---|
| 0.1 mas | 3.0864222222e-8 grad |
| 0.5 mas | 1.5432111111e-7 grad |
| 1 mas | 3.0864222222e-7 grad |
| 2 mas | 6.1728444444e-7 grad |
| 5 mas | 1.5432111111e-6 grad |
| 10 mas | 3.0864222222e-6 grad |
| 25 mas | 7.7160555556e-6 grad |
| 50 mas | 1.5432111111e-5 grad |
| 100 mas | 3.0864222222e-5 grad |
About These Units
Milliarcsecond (mas)
A milliarcsecond (mas) is 1/1000 of an arcsecond. Milliarcseconds measure stellar parallax (nearest star: 768 mas), proper motion, and high-precision astrometry. The Gaia satellite measures positions to ~0.02 mas accuracy.
Gradian (grad)
A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.
Frequently Asked Questions
How do I convert milliarcseconds to gradians?
To convert milliarcseconds to gradians, divide the value by 3239997.408. For example, 10 mas = 3.0864222222e-6 grad.
How many gradians are in 1 milliarcsecond?
1 milliarcsecond equals 3.0864222222e-7 gradians.
What is the formula for milliarcseconds to gradians?
The formula is: grad = mas ÷ 3239997.408.