Arcseconds to Radians (" to rad) Converter
1 arcsecond (") = 0.0000048481 radians (rad). To convert arcseconds to radians, multiply by 0.0000048481: 25 " × 0.0000048481 = 0.000121203 rad.
Quick facts
- 1 " = 0.0000048481 rad
- 1 rad = 206,265 "
- Formula: rad = " × 0.0000048481
- Quick estimate: multiply by about 0.0000048
How to convert arcseconds to radians
- Take the value in arcseconds.
- Multiply it by 0.0000048481 (the number of radians in one arcsecond).
- Round the result to the precision you need.
Worked example: 25 " × 0.0000048481 = 0.000121203 rad.
To convert radians back to arcseconds, multiply by 206,265, or divide by 0.0000048481.
Source: BIPM SI Brochure, 9th edition (the radian).
Arcseconds to Radians conversion table
| Arcseconds ["] | Radians [rad] |
|---|---|
| 1 " | 0.0000048481 rad |
| 10 " | 0.0000484814 rad |
| 100 " | 0.0004848137 rad |
| 1000 " | 0.0048481368 rad |
| 10000 " | 0.0484813681 rad |
| 100000 " | 0.4848136811 rad |
| 1000000 " | 4.8481368111 rad |
" to rad chart from 1 to 100
- 1 " 0.0000048481 rad
- 2 " 0.0000096963 rad
- 3 " 0.0000145444 rad
- 4 " 0.0000193925 rad
- 5 " 0.0000242407 rad
- 6 " 0.0000290888 rad
- 7 " 0.000033937 rad
- 8 " 0.0000387851 rad
- 9 " 0.0000436332 rad
- 10 " 0.0000484814 rad
- 11 " 0.0000533295 rad
- 12 " 0.0000581776 rad
- 13 " 0.0000630258 rad
- 14 " 0.0000678739 rad
- 15 " 0.0000727221 rad
- 16 " 0.0000775702 rad
- 17 " 0.0000824183 rad
- 18 " 0.0000872665 rad
- 19 " 0.0000921146 rad
- 20 " 0.0000969627 rad
- 25 " 0.000121203 rad
- 30 " 0.000145444 rad
- 35 " 0.000169685 rad
- 40 " 0.000193925 rad
- 45 " 0.000218166 rad
- 50 " 0.000242407 rad
- 55 " 0.000266648 rad
- 60 " 0.000290888 rad
- 65 " 0.000315129 rad
- 70 " 0.00033937 rad
- 75 " 0.00036361 rad
- 80 " 0.000387851 rad
- 85 " 0.000412092 rad
- 90 " 0.000436332 rad
- 95 " 0.000460573 rad
- 100 " 0.000484814 rad
Radians to Arcseconds conversion table
| Radians [rad] | Arcseconds ["] |
|---|---|
| 0.001 rad | 206.2648062471 " |
| 0.01 rad | 2062.6480624709 " |
| 0.1 rad | 20626.4806247095 " |
| 0.5 rad | 103132.4031235473 " |
| 1 rad | 206264.8062470947 " |
| 2 rad | 412529.6124941894 " |
| 5 rad | 1031324.0312354733 " |
| 10 rad | 2062648.0624709467 " |
Arcseconds vs Radians
| Arcsecond | Radian | |
|---|---|---|
| Symbol | " | rad |
| Equals | 1 " = 0.0000048481 rad | 1 rad = 206,265 " |
What is an arcsecond?
One 60th of an arcminute, or 1/3600 of a degree. Used in astronomy for very small angular measurements, such as star positions.
What is a radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
Frequently asked questions
How many radians are in an arcsecond?
There are 0.0000048481 radians in 1 arcsecond (1 " = 0.0000048481 rad).
How many arcseconds are in a radian?
There are 206,265 arcseconds in 1 radian (1 rad = 206264.8062470947 ").
How do I convert arcseconds to radians?
Multiply the number of arcseconds by 0.0000048481. For example, 10 " × 0.0000048481 = 0.0000484814 rad. To convert back, multiply by 206,265.
What is 10 " in radians?
10 " = 0.0000484814 rad.
What is 100 " in radians?
100 " = 0.000484814 rad.
Is the conversion exact?
Yes. The factor comes from the official definitions of both units (BIPM SI Brochure, 9th edition (the radian)). Results are shown to up to 10 decimal places; round them to suit your purpose.
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