Convert Radian to Arcsecond
Use this free converter to change radians (rad) into arcseconds ("). Radian and arcsecond both measure angle. As a quick reference, 1 rad equals 206264.81 ", and 1 " equals 0.0000048481368 rad.
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Arcsecond (")
206264.81
1 rad = 206264.81 "
Angle conversion table
| Radian | Arcsecond |
|---|---|
| 0.01 | 2062.6481 |
| 0.1 | 20626.481 |
| 0.5 | 103132.4 |
| 1 | 206264.81 |
| 2 | 412529.61 |
| 3 | 618794.42 |
| 5 | 1031324 |
| 10 | 2062648.1 |
| 20 | 4125296.1 |
| 25 | 5156620.2 |
| 50 | 10313240 |
| 100 | 20626481 |
| 1,000 | 206264810 |
How to convert Radian to Arcsecond
Multiply the radian value by 206264.81 to get arcseconds.
- Enter the number of radians you want to convert.
- The converter instantly shows the equivalent value in arcseconds.
- Worked example: 15 rad × 206264.81 = 3093972.1 ".
- Use the swap button to reverse the conversion (arcsecond to radian).
About these units
Radian (rad)
- Definition
- A radian (rad) is the SI angle for which the arc length equals the radius; a full circle is 2π radians.
- History
- The concept was formalised in the 19th century and named in 1873.
- Current use
- Radians are the standard angle unit in mathematics and physics.
Arcsecond (")
- Definition
- An arcsecond (″) is one sixtieth of an arcminute, or 1/3600 of a degree.
- History
- It continues the base-60 subdivision used since ancient astronomy.
- Current use
- Arcseconds measure very small angles such as star positions and telescope resolution.
Frequently asked questions
How many arcseconds are in a radian?
There are 206264.81 " in 1 rad. To convert, multiply the number of radians by 206264.81.
How do I convert radians to arcseconds?
Multiply the radian value by 206264.81 to get arcseconds. For example, 10 rad = 2062648.1 ".
Is this radian-to-arcsecond converter free?
Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.
Convert Radian to other angle units
| Unit | 1 Radian equals |
|---|---|
| Degree (°) | 57.29578 ° |
| Gradian (grad) | 63.661977 grad |
| Arcminute (') | 3437.7468 ' |
| Arcsecond (") | 206264.81 " |
| Turn (turn) | 0.15915494 turn |