Arcseconds to radians converter
Radians (rad)
1 arcsecond = 0.000004848136811 radians
How to convert arcseconds to radians
rad = ″ × 0.0000048481368111
Multiply the number of arcseconds by 0.0000048481368111 to get radians. Going the other way, divide by 0.0000048481368111 (or multiply by 206264.806247).
One arcsecond is exactly defined as 0.0000048481368111 radians (to 12 significant figures), and one radian is 206264.806247 arcseconds.
Worked examples
- Convert 5 arcseconds: 5 × 0.0000048481368111 = 0.00002424068406 0.00002424068406 radians.
- Convert 12.5 arcseconds: 12.5 × 0.0000048481368111 = 0.00006060171014 0.00006060171014 radians.
- Convert 250 arcseconds: 250 × 0.0000048481368111 = 0.001212034203 0.001212034203 radians.
Quick-reference table
| ″ | rad |
|---|---|
| 1 | 0.000004848136811 |
| 2 | 0.000009696273622 |
| 3 | 0.00001454441043 |
| 5 | 0.00002424068406 |
| 10 | 0.00004848136811 |
| 15 | 0.00007272205217 |
| 20 | 0.00009696273622 |
| 25 | 0.0001212034203 |
| 50 | 0.0002424068406 |
| 75 | 0.0003636102608 |
| 100 | 0.0004848136811 |
| 1,000 | 0.004848136811 |
| rad | ″ |
|---|---|
| 1 | 206,264.8062 |
| 2 | 412,529.6125 |
| 3 | 618,794.4187 |
| 5 | 1,031,324.031 |
| 10 | 2,062,648.062 |
| 15 | 3,093,972.094 |
| 20 | 4,125,296.125 |
| 25 | 5,156,620.156 |
| 50 | 10,313,240.31 |
| 75 | 15,469,860.47 |
| 100 | 20,626,480.62 |
| 1,000 | 206,264,806.2 |
Related conversions
Frequently asked questions
How many radians are in 1 arcsecond?
1 arcsecond equals 0.000004848136811 radians.
What is the formula to convert arcseconds to radians?
Use rad = ″ × 0.0000048481368111. Multiply the number of arcseconds by 0.0000048481368111 to get radians. Going the other way, divide by 0.0000048481368111 (or multiply by 206264.806247).
What is 100 arcseconds in radians?
100 arcseconds is 0.0004848136811 radians.