Convert radians to arcseconds
Radians to arcseconds. Enter a value to convert, or use the radians to arcseconds chart further down the page.
1 radian equals 206,264.8062 arcseconds. Going the other way, 1 arcsecond = 0.000004848136811 radians.
How to convert radians to arcseconds
To convert radians to arcseconds, multiply the radian value by 206264.8062. You can also divide by 0.000004848136811 to get the same answer.
″ = rad × 206264.8062
Worked example
Convert 45 rad to arcseconds:
45 rad = 9,281,916.281 ″
radians to arcseconds conversion chart
Use this radians to arcseconds table for quick reference without typing anything.
| radians (rad) | arcseconds (″) |
|---|---|
| 1 rad | 206,264.8062 ″ |
| 5 rad | 1,031,324.031 ″ |
| 10 rad | 2,062,648.062 ″ |
| 15 rad | 3,093,972.094 ″ |
| 30 rad | 6,187,944.187 ″ |
| 45 rad | 9,281,916.281 ″ |
| 60 rad | 12,375,888.37 ″ |
| 90 rad | 18,563,832.56 ″ |
| 180 rad | 37,127,665.12 ″ |
| 270 rad | 55,691,497.69 ″ |
| 360 rad | 74,255,330.25 ″ |
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°.
What is an arcsecond?
An arcsecond is one sixtieth of an arcminute, or 1/3600 of a degree. Telescope resolution and stellar parallax are quoted in arcseconds.
Frequently asked questions
How many arcseconds are in a radian?
1 radians equals 206,264.8062 arcseconds. Going the other way, 1 arcseconds is 0.000004848136811 radians.
How do you convert radians to arcseconds?
To convert radians to arcseconds, multiply the radian value by 206264.8062. You can also divide by 0.000004848136811 to get the same answer.
What is 10 radians in arcseconds?
10 radians equals 2,062,648.062 arcseconds. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert radians to other units
- arcseconds to radians
- radians to degrees
- radians to gradians
- radians to arcminutes
- radians to revolutions
Convert other units to arcseconds
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