Convert Arcsecond to Radian
Use this free converter to change arcseconds (") into radians (rad). Arcsecond and radian both measure angle. As a quick reference, 1 " equals 0.0000048481368 rad, and 1 rad equals 206264.81 ".
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Radian (rad)
0.0000048481368
1 " = 0.0000048481368 rad
Angle conversion table
| Arcsecond | Radian |
|---|---|
| 0.01 | 4.8481e-8 |
| 0.1 | 4.8481e-7 |
| 0.5 | 0.0000024240684 |
| 1 | 0.0000048481368 |
| 2 | 0.0000096962736 |
| 3 | 0.00001454441 |
| 5 | 0.000024240684 |
| 10 | 0.000048481368 |
| 20 | 0.000096962736 |
| 25 | 0.00012120342 |
| 50 | 0.00024240684 |
| 100 | 0.00048481368 |
| 1,000 | 0.0048481368 |
How to convert Arcsecond to Radian
Multiply the arcsecond value by 0.0000048481368 to get radians.
- Enter the number of arcseconds you want to convert.
- The converter instantly shows the equivalent value in radians.
- Worked example: 15 " × 0.0000048481368 = 0.000072722052 rad.
- Use the swap button to reverse the conversion (radian to arcsecond).
About these units
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.
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.
Frequently asked questions
How many radians are in a arcsecond?
There are 0.0000048481368 rad in 1 ". To convert, multiply the number of arcseconds by 0.0000048481368.
How do I convert arcseconds to radians?
Multiply the arcsecond value by 0.0000048481368 to get radians. For example, 10 " = 0.000048481368 rad.
Is this arcsecond-to-radian 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 Arcsecond to other angle units
| Unit | 1 Arcsecond equals |
|---|---|
| Degree (°) | 0.00027777778 ° |
| Radian (rad) | 0.0000048481368 rad |
| Gradian (grad) | 0.00030864198 grad |
| Arcminute (') | 0.016666667 ' |
| Turn (turn) | 7.7160e-7 turn |