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Angle
Arcminutes to Radians
Convert arcminutes (arcmin) to radians (rad). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 arcmin = 0.000291 rad
Arcminutes to Radians Conversion Table
Common values, ready to copy:
| arcminutes | radians |
|---|---|
| 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 |
| 1,000 arcmin | 0.290888 rad |
Formula
radians = arcminutes × 2.90888209e-4
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
About Arcminutes and Radians
Arcminutes (arcmin): 1/60 of a degree; used since ancient astronomy for fine angle measurement. Common uses: Astronomy (small angular sizes of celestial objects), navigation (latitude minutes), and optometry (visual acuity reference).
Radians (rad): The natural SI unit for angle; one radian is the angle subtended by an arc equal in length to the radius (so a full circle is 2π radians ≈ 6.283). Common uses: Mathematics (calculus, trigonometry derivatives), physics, computer graphics, and any context where the formula simplifies in radians.
How the conversion works
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
The exact relationship is radians = arcminutes × 2.90888209e-4, which the calculator at the top of this page applies in both directions. Type into either field and the other updates immediately.
When this conversion matters
Converting between arcminutes and radians comes up wherever angle measurements move between systems — from one country's conventions to another's, from a scientific reference to a practical specification, or from one industry's working unit to another's. The calculator and reference table above cover the everyday range; for unusual values you can type any number into either field.