Radians to arcseconds
Type a value in radians to see it in arcseconds straight away, or type in the second box to convert back.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Type the value in the radians box.
- Read the result in arcseconds as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
" = rad × 206,264.8062
Multiply the value in radians by 206,264.8062 to get arcseconds.
Example
To convert 25 rad to arcseconds: 25 × 206,264.8062 = 5,156,620 ".
Conversion table
| Radians (rad) | Arcseconds (") |
|---|---|
| 1 | 206,265 |
| 2 | 412,530 |
| 3 | 618,794 |
| 5 | 1,031,320 |
| 10 | 2,062,650 |
| 20 | 4,125,300 |
| 25 | 5,156,620 |
| 50 | 10,313,200 |
| 100 | 20,626,500 |
| 250 | 51,566,200 |
| 500 | 103,132,000 |
| 1,000 | 206,265,000 |
About the units
- Radian
- The radian is the SI unit of angle: the angle subtended by an arc equal in length to the radius. It equals 180/π degrees, about 57.2958 degrees.
- Arcsecond
- An arcsecond is 1/60 of an arcminute, or 1/3600 of a degree, used in astronomy and precise coordinates.
Limits and caveats
- Results are rounded for display and computed with the browser's floating point precision (about 15 significant digits).
- Both unit factors are exact by their official definitions.
Questions about this tool
How many arcseconds are in one radian?
1 rad = 206,265 " exactly.
How do I convert radians to arcseconds?
Use " = rad × 206,264.8062. For example, 25 rad = 5,156,620 ".
How many radians are in one arcsecond?
1 " = 0.00000484814 rad.
Why does my calculator give a strange answer for sine?
It is probably set to radians (RAD) while you are entering degrees. The sine of 30 degrees is 0.5, but the sine of 30 radians is about -0.988, so switch to DEG first.
What is the difference between MOA and MIL on a rifle scope?
MOA is an arcminute, 1/60 of a degree, while a MIL is a milliradian, about 3.438 MOA. At 100 meters a 0.1 MIL click moves impact 1 cm, and 1 MOA moves it about 2.9 cm.