Choose the output unit in Solve for, then enter one known angle and its unit. Convert among arcminutes, arcseconds, degrees, radians, turns and gradians.
Common Mistakes Quick tips
- Choose the desired output in Solve for and enter the known angle in its own unit; the answer appears below Calculate.
- Confusing angle arcminutes (โฒ) with minutes of time; they are not the same unit.
- Mixing decimal degrees with DMS (degreesโminutesโseconds) without converting properly.
- Check both the known-angle unit and Solve for output unit; changing an input unit converts its current value.
When to Use This Calculator
- Converting telescope or camera field of view/resolution from arcminutes/arcseconds to degrees.
- GIS, mapping, and navigation tasks involving degreesโminutesโseconds (DMS) and decimal degrees.
- Ballistics and optics work where MOA (minute of arc) adjustments are related to degrees.
Input Definitions
- Arc Minutes/Arc Seconds โ 1ยฐ = 60โฒ; 1โฒ = 60โณ; therefore 1ยฐ = 3600โณ.
- Solve for โ choose degrees, arcminutes, arcseconds, radians, turns, or gradians as the output.
- Conversions โ deg = arcmin รท 60; arcmin = deg ร 60; rad = deg ร ฯ/180; turn = deg รท 360; grad = deg รท 0.9.
- All Unit Converters
- Degrees To Radians Calculator
- 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.
deg = (arcmin) / (60) arcmin = 60 deg
- 1 degree (ยฐ) = 60 arcminutes (โฒ) = 3600 arcseconds (โณ).
- 1 radian = 180/ฯ degrees โ 57.29578ยฐ; 1 turn = 360ยฐ; 1 grad = 0.9ยฐ.
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 (โฒ) | Degrees (ยฐ) |
|---|---|
| 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 รท 60.
deg = 135 รท 60 = 2.25ยฐ
