Convert arcseconds to radians
arcseconds to radians. Enter a value to convert, or use the arcseconds to radians chart further down the page.
1 arcsecond equals 0.00000484814 radians. Going the other way, 1 radian = 206,265 arcseconds.
How to convert arcseconds to radians
To convert arcseconds to radians, multiply the arcsecond value by 0.000004848136811. You can also divide by 206264.8062 to get the same answer.
rad = ″ × 0.000004848136811
Worked example
Convert 45 ″ to radians:
45 ″ = 0.000218166 rad
arcseconds to radians conversion chart
Use this arcseconds to radians table for quick reference without typing anything.
| arcseconds (″) | radians (rad) |
|---|---|
| 1 ″ | 0.00000484814 rad |
| 5 ″ | 0.0000242407 rad |
| 10 ″ | 0.0000484814 rad |
| 15 ″ | 0.0000727221 rad |
| 30 ″ | 0.000145444 rad |
| 45 ″ | 0.000218166 rad |
| 60 ″ | 0.000290888 rad |
| 90 ″ | 0.000436332 rad |
| 180 ″ | 0.000872665 rad |
| 270 ″ | 0.001309 rad |
| 360 ″ | 0.00174533 rad |
What is a arcsecond?
An arcsecond is one sixtieth of an arcminute, or 1/3600 of a degree. Telescope resolution and stellar parallax are quoted in arcseconds.
What is a radian?
A radian is the angle subtended by an arc equal in length to the radius. A full turn is 2π radians, so 1 rad ≈ 57.2958°.
Frequently asked questions
How many radians are in a arcsecond?
1 arcseconds equals 0.00000484814 radians. Going the other way, 1 radians is 206,265 arcseconds.
How do you convert arcseconds to radians?
To convert arcseconds to radians, multiply the arcsecond value by 0.000004848136811. You can also divide by 206264.8062 to get the same answer.
What is 10 arcseconds in radians?
10 arcseconds equals 0.0000484814 radians. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert arcseconds to other units
- radians to arcseconds
- arcseconds to degrees
- arcseconds to gradians
- arcseconds to arcminutes
- arcseconds to revolutions
Convert other units to radians
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