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Angle
Radians to Arcminutes
Convert radians (rad) to arcminutes (arcmin). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 rad = 3437.75 arcmin
Radians to Arcminutes Conversion Table
Common values, ready to copy:
| radians | arcminutes |
|---|---|
| 1 rad | 3437.75 arcmin |
| 2 rad | 6875.49 arcmin |
| 5 rad | 17188.73 arcmin |
| 10 rad | 34377.47 arcmin |
| 25 rad | 85943.67 arcmin |
| 50 rad | 171887.34 arcmin |
| 100 rad | 343774.68 arcmin |
| 1,000 rad | 3.4377e+6 arcmin |
Formula
arcminutes = radians × 3.43774677e+3
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 Radians and Arcminutes
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.
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).
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 arcminutes = radians × 3.43774677e+3, 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 radians and arcminutes 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.