Convert Arcminute to Radian
Use this free converter to change arcminutes (') into radians (rad). Arcminute and radian both measure angle. As a quick reference, 1 ' equals 0.00029088821 rad, and 1 rad equals 3437.7468 '.
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Radian (rad)
0.00029088821
1 ' = 0.00029088821 rad
Angle conversion table
| Arcminute | Radian |
|---|---|
| 0.01 | 0.0000029088821 |
| 0.1 | 0.000029088821 |
| 0.5 | 0.0001454441 |
| 1 | 0.00029088821 |
| 2 | 0.00058177642 |
| 3 | 0.00087266463 |
| 5 | 0.001454441 |
| 10 | 0.0029088821 |
| 20 | 0.0058177642 |
| 25 | 0.0072722052 |
| 50 | 0.01454441 |
| 100 | 0.029088821 |
| 1,000 | 0.29088821 |
How to convert Arcminute to Radian
Multiply the arcminute value by 0.00029088821 to get radians.
- Enter the number of arcminutes you want to convert.
- The converter instantly shows the equivalent value in radians.
- Worked example: 15 ' × 0.00029088821 = 0.0043633231 rad.
- Use the swap button to reverse the conversion (radian to arcminute).
About these units
Arcminute (')
- Definition
- An arcminute (′) is one sixtieth of a degree.
- History
- It comes from the base-60 subdivision of the degree in astronomy.
- Current use
- Arcminutes measure small angles in astronomy, optics, and navigation.
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 arcminute?
There are 0.00029088821 rad in 1 '. To convert, multiply the number of arcminutes by 0.00029088821.
How do I convert arcminutes to radians?
Multiply the arcminute value by 0.00029088821 to get radians. For example, 10 ' = 0.0029088821 rad.
Is this arcminute-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 Arcminute to other angle units
| Unit | 1 Arcminute equals |
|---|---|
| Degree (°) | 0.016666667 ° |
| Radian (rad) | 0.00029088821 rad |
| Gradian (grad) | 0.018518519 grad |
| Arcsecond (") | 60 " |
| Turn (turn) | 0.000046296296 turn |