arcminutes to radians | Exact Decimal + Formula
1 Arcminute = 0.000291 Radian
One radian equals about 3.4 thousand arcminutes (exactly 3437.746771 arcmin). Real-world use: astronomy (apparent sizes), optics, and navigation. This page expresses those values in radians, which is used for calculus, physics, and programming trigonometry functions. Use the calculator above, then check the reference table for common values from 0.001 to 1000.
About Arcminute and Radian
Arcminute (arcmin)
An arcminute is 1/60 of a degree.
Where it's used: Astronomy (apparent sizes), optics, and navigation.
Radian (rad)
A radian is the angle subtended by an arc equal to the circle's radius; a full circle is 2π radians.
Where it's used: Calculus, physics, and programming trigonometry functions.
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Formula
rad = arcmin × 0.000290888
To convert Arcminute to Radian, use the formula displayed above.
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Arcminute to Radian: Quick Reference Table
| Arcminute | Radian (Decimal) | Fraction |
|---|---|---|
| 0.001 arcmin | 2.9089e-7 rad | - |
| 0.01 arcmin | 0.000003 rad | - |
| 0.1 arcmin | 0.000029 rad | - |
| 0.5 arcmin | 0.000145 rad | - |
| 1 arcmin | 0.000291 rad | - |
| 2 arcmin | 0.000582 rad | - |
| 5 arcmin | 0.001454 rad | - |
| 10 arcmin | 0.002909 rad | - |
| 25 arcmin | 0.007272 rad | - |
| 50 arcmin | 0.014544 rad | - |
| 100 arcmin | 0.029089 rad | - |
| 250 arcmin | 0.072722 rad | - |
| 500 arcmin | 0.145444 rad | - |
| 1000 arcmin | 0.290888 rad | - |
arcmin to rad Formula and Examples
Direct Formula
rad = arcmin × 0.000290888 Inverse Formula
arcmin = rad × 3437.746771 Mental Math Shortcut
Divide the value by roughly 3437.7 to quickly estimate the converted result.
Common Arcminute to Radian Calculations
- 5 arcmin = 0.001454 rad
- 10 arcmin = 0.002909 rad
- 50 arcmin = 0.014544 rad
- 100 arcmin = 0.029089 rad
- 500 arcmin = 0.145444 rad
Precision & Practical Use
For example, 10 arcmin = 0.002909 rad — roughly fractional unit measurement.
Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.
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How to Convert Arcminute to Radian
How many radians are in one arcminute?
One Arcminute (arcmin) equals 0.000291 Radian (rad). To convert arcminutes to radians, multiply the arcminute value by 0.000291.
How do I convert Arcminute to Radian?
Multiply your arcminute value by 0.000291 to get the result in Radian: rad = arcmin × 0.000291. For example, 5 arcmin = 0.001454 rad.
What is the formula for converting arcmin to rad?
The conversion formula is rad = arcmin × 0.000291. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.
Is there a quick mental estimate for arcmin to rad?
Divide the value by roughly 3437.7 to quickly estimate the converted result.
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