arc-minutes to radians
Convert arc-minute to radian — instant, free, with the formula shown.
1 ′=0.00029089 rad
How to convert arc-minute to radian
To convert arc-minute to radian, multiply by 0.00029089:
rad = ′ × 0.00029089
For example, 10 ′ × 0.000291 = 0.00290888 rad.
′ to rad conversion table
| arc-minutes (′) | radians (rad) |
|---|---|
| 1 ′ | 0.00029089 rad |
| 2 ′ | 0.00058178 rad |
| 5 ′ | 0.00145444 rad |
| 10 ′ | 0.00290888 rad |
| 25 ′ | 0.00727221 rad |
| 50 ′ | 0.01454441 rad |
| 100 ′ | 0.02908882 rad |
| 250 ′ | 0.07272205 rad |
| 500 ′ | 0.1454441 rad |
| 1000 ′ | 0.29088821 rad |
Other arc-minute conversions
Convert to radian from another unit
′ to rad — frequently asked
How many radians are in 1 arc-minute?
1 arc-minute = 0.00029089 radians (′ × 0.000291 = rad).
What is the formula to convert arc-minute to radian?
Multiply your arc-minute value by 0.00029089 to get radian.
How do I convert 10 arc-minutes to radians?
10 ′ = 0.00290888 rad. For 100 ′ the answer is 0.02908882 rad. Use the calculator on this page for any other value.
When to convert arc-minute to radian
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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