Convert radians to arcseconds
Input the number of radians you want to convert to arcseconds.
How to Convert Radians to Arcseconds
The radian and arcsecond are both units of angle. 1 radian equals 206264.80608 arcseconds. This means to convert radians to arcseconds, you multiply by 206264.80608.
Formula
Step-by-Step Example
Convert 5 rad to arcseconds:
We need to convert radians to arcseconds
Since 1 rad = 206264.80608 ″, multiply by 206264.80608
5 × 206264.80608 = 1031324.0304
5 rad = 1031324.0304 ″
Radian to Arcsecond Conversion Table
Quick reference table for common radian to arcsecond conversions. Click any value for detailed calculation.
| Radians (rad) | Arcseconds (″) |
|---|---|
| 0.1 rad | 20626.480608 ″ |
| 0.5 rad | 103132.40304 ″ |
| 1 rad | 206264.80608 ″ |
| 2 rad | 412529.61216 ″ |
| 5 rad | 1031324.0304 ″ |
| 10 rad | 2062648.0608 ″ |
| 25 rad | 5156620.1521 ″ |
| 50 rad | 10313240.304 ″ |
| 100 rad | 20626480.608 ″ |
About These Units
Radian (rad)
A radian (rad) is the SI unit of angle where the arc length equals the radius. One radian ≈ 57.3°. A full circle is 2π radians (≈6.28 rad). Radians are essential in calculus, physics, and engineering. Trigonometric functions in most programming languages use radians.
Arcsecond (″)
An arcsecond (″) is 1/60 of an arcminute or 1/3600 of a degree. Arcseconds measure stellar positions, telescope resolution, and atmospheric seeing. The Hubble Space Telescope resolves about 0.05 arcseconds. GPS accuracy is measured in arcseconds.
Frequently Asked Questions
How do I convert radians to arcseconds?
To convert radians to arcseconds, multiply the value by 206264.80608. For example, 10 rad = 2062648.0608 ″.
How many arcseconds are in 1 radian?
1 radian equals 206264.80608 arcseconds.
What is the formula for radians to arcseconds?
The formula is: ″ = rad × 206264.80608.