Convert arcsecond to radian
Here you can quickly calculate how many radian fit in one arcsecond.
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- 1 ″ = 0.000005 rad
- 1 rad = 206264.806247 ″
Example: arcsecond to radian
- 1 arcsecond = 0.000005 radian
Arcsecond to radian conversion table
| arcsecond | radian |
|---|---|
| 1 | 0.000005 |
| 30 | 0.000145 |
| 45 | 0.000218 |
| 60 | 0.000291 |
| 90 | 0.000436 |
| 180 | 0.000873 |
| 270 | 0.001309 |
| 360 | 0.001745 |
Arcsecond to radian formula
To convert arcsecond to radian, multiply by 0.000005.
1 ″ = 0.000005 rad
Example: 1 arcsecond = 0.000005 radian
Common angle conversion mistakes
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The calculator is in the wrong mode. SIN() in a spreadsheet, Math.sin in code and a calculator in radian mode all read 90 as radians, so sin(90) gives about 0.894, not 1. Convert degrees to radians first, or switch the calculator to degree mode.
Quick arcsecond and radian conversion quiz
Score:
0
25 arcsecond equals 0.000121 radian.
Correct answer: 25 arcsecond = 0.000121 radian.
5 radian equals 1.03 × 10⁷ arcsecond.
Correct answer: 5 radian = 1 030 000 arcsecond.
20 radian equals 4 130 000 arcsecond.
Correct answer: 20 radian = 4 130 000 arcsecond.
10 radian equals 206 000 arcsecond.
Correct answer: 10 radian = 2 060 000 arcsecond.
5 arcsecond equals 0.000242 radian.
Correct answer: 5 arcsecond = 2.42 × 10⁻⁵ radian.