Radians to arcseconds converter
Arcseconds (″)
1 radian = 206,264.8062 arcseconds
How to convert radians to arcseconds
″ = rad × 206264.806247
Multiply the number of radians by 206264.806247 to get arcseconds. Going the other way, divide by 206264.806247 (or multiply by 0.0000048481368111).
One radian is exactly defined as 206264.806247 arcseconds (to 12 significant figures), and one arcsecond is 0.0000048481368111 radians.
Worked examples
- Convert 5 radians: 5 × 206264.806247 = 1,031,324.031 1,031,324.031 arcseconds.
- Convert 12.5 radians: 12.5 × 206264.806247 = 2,578,310.078 2,578,310.078 arcseconds.
- Convert 250 radians: 250 × 206264.806247 = 51,566,201.56 51,566,201.56 arcseconds.
Quick-reference table
| 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 |
| ″ | 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 |
Related conversions
Frequently asked questions
How many arcseconds are in 1 radian?
1 radian equals 206,264.8062 arcseconds.
What is the formula to convert radians to arcseconds?
Use ″ = rad × 206264.806247. Multiply the number of radians by 206264.806247 to get arcseconds. Going the other way, divide by 206264.806247 (or multiply by 0.0000048481368111).
What is 100 radians in arcseconds?
100 radians is 20,626,480.62 arcseconds.