Enter arc minutes or degrees into the calculator to convert to the other value.
Common Mistakes Quick tips
- Entering values in both fields—fill exactly one: either arc minutes/seconds or degrees/radians/turns/grads.
- Confusing angle arcminutes (′) with minutes of time; they are not the same unit.
- Mixing decimal degrees with DMS (degrees–minutes–seconds) without converting properly.
- Selecting radians/turns/grads but assuming the output is degrees; check the unit dropdowns.
When to Use This Calculator
- Converting telescope or camera field of view/resolution from arcminutes/arcseconds to degrees.
- GIS, mapping, and navigation tasks involving degrees–minutes–seconds (DMS) and decimal degrees.
- Ballistics and optics work where MOA (minute of arc) adjustments are related to degrees.
Input Definitions
- Arc Minutes/Arc Seconds — 1° = 60′; 1′ = 60″; therefore 1° = 3600″.
- Degrees Group — choose degrees (°), radians (rad), turns (rev), or grads (gon).
- Conversions — deg = arcmin ÷ 60; arcmin = deg × 60; rad = deg × π/180; turn = deg ÷ 360; grad = deg ÷ 0.9.
- All Unit Converters
- Degrees to Inches Calculator
- Degrees To Percent Calculator
- Gradient To Degrees Calculator
Arc Minute to Degrees Formula
The following formulas convert arc minutes (and arcseconds) to degrees and back.
\mathrm{deg} = \frac{\mathrm{arcmin}}{60}\quad\quad \mathrm{arcmin} = 60\,\mathrm{deg}- 1 degree (°) = 60 arcminutes (′) = 3600 arcseconds (″).
- 1 radian = 180/π degrees ≈ 57.29578°; 1 turn = 360°; 1 grad = 0.9°.
How do you convert arc minutes to degrees? Divide arc minutes by 60 to get degrees; for arcseconds, divide by 3600.
How do you convert degrees to arc minutes? Multiply degrees by 60 to get arc minutes; multiply degrees by 3600 to get arcseconds.
Arc Minute to Degrees Conversion Table
| Arc Minutes (′) | Degrees (°) |
|---|---|
| 1 | 0.016667 |
| 2 | 0.033333 |
| 3 | 0.050000 |
| 4 | 0.066667 |
| 5 | 0.083333 |
| 6 | 0.100000 |
| 10 | 0.166667 |
| 12 | 0.200000 |
| 15 | 0.250000 |
| 20 | 0.333333 |
| 24 | 0.400000 |
| 30 | 0.500000 |
| 36 | 0.600000 |
| 40 | 0.666667 |
| 45 | 0.750000 |
| 50 | 0.833333 |
| 55 | 0.916667 |
| 60 | 1.000000 |
| 90 | 1.500000 |
| 120 | 2.000000 |
| * 1 degree = 60 arcminutes; 1 arcminute = 1/60 degree. | |
Example Problem
Convert 135 arcminutes to degrees.
Use the formula: deg = arcmin ÷ 60.
deg = 135 ÷ 60 = 2.25°
