Convert Gradian to Milliarcsecond
Type the number of gradians that you wish to convert to milliarcseconds.
How to Convert Gradians to Milliarcseconds
The gradian and milliarcsecond are both units of angle. 1 gradian equals 3239997.408 milliarcseconds. This means to convert gradians to milliarcseconds, you multiply by 3239997.408.
Formula
Step-by-Step Example
Convert 5 grad to milliarcseconds:
We need to convert gradians to milliarcseconds
Since 1 grad = 3239997.408 mas, multiply by 3239997.408
5 × 3239997.408 = 16199987.04
5 grad = 16199987.04 mas
Gradian to Milliarcsecond Conversion Table
Quick reference table for common gradian to milliarcsecond conversions. Click any value for detailed calculation.
| Gradians (grad) | Milliarcseconds (mas) |
|---|---|
| 0.1 grad | 323999.7408 mas |
| 0.5 grad | 1619998.704 mas |
| 1 grad | 3239997.408 mas |
| 2 grad | 6479994.816 mas |
| 5 grad | 16199987.04 mas |
| 10 grad | 32399974.08 mas |
| 25 grad | 80999935.2 mas |
| 50 grad | 161999870.4 mas |
| 100 grad | 323999740.8 mas |
About These Units
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.
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.
Frequently Asked Questions
How do I convert gradians to milliarcseconds?
To convert gradians to milliarcseconds, multiply the value by 3239997.408. For example, 10 grad = 32399974.08 mas.
How many milliarcseconds are in 1 gradian?
1 gradian equals 3239997.408 milliarcseconds.
What is the formula for gradians to milliarcseconds?
The formula is: mas = grad × 3239997.408.