How to Convert Arcminutes to Degrees (′ to °)
Angle conversions show up in maths and physics lessons, surveying and navigation. This guide shows how to convert arcminutes into degrees by hand, with examples and a quick-reference table.
The conversion
To convert arcminutes to degrees, multiply the value by 0.0166666667. To go the other way, divide by the same number (or multiply by 60). For a quick estimate, multiply by about 0.017.
Degrees = arcminutes × 0.0166666667
Worked examples
- 3 ′ = 0.05 °
- 12.5 ′ = 0.208333 °
- 75 ′ = 1.25 °
Arcminutes to Degrees table
| Arcminutes | Degrees |
|---|---|
| 1 ′ | 0.016667 ° |
| 2 ′ | 0.033333 ° |
| 5 ′ | 0.083333 ° |
| 10 ′ | 0.166667 ° |
| 20 ′ | 0.333333 ° |
| 25 ′ | 0.416667 ° |
| 50 ′ | 0.833333 ° |
| 100 ′ | 1.6667 ° |
| 250 ′ | 4.1667 ° |
| 500 ′ | 8.3333 ° |
| 1,000 ′ | 16.6667 ° |
Common questions
Is ′ to ° exact?
The factors used here are the internationally defined values where they exist; results are rounded for display only.
How do I convert back?
Use the Degrees to Arcminutes converter.
Mistakes to avoid
Dropping the units
A bare number without a unit is easy to misread later. Always write the unit with the result.
Mixing similar-sounding units
US and imperial gallons, pints and tons are different sizes, and decimal kilobytes differ from binary kibibytes.
Forgetting squared and cubed units
Area and volume factors are the length factor squared or cubed, so 1 m² is about 10.76 sq ft, not 3.28.
Background
Writing the units next to every number while you work is the simplest way to avoid mistakes. If the units do not cancel to leave the one you want, the calculation is set up wrongly.
Singapore adopted the metric system in the 1970s, replacing imperial units and traditional Chinese measures in most official uses. Metric units are now standard in schools, trade and government, but older units survive in property, markets and imported goods.
For everyday use, three or four significant figures are usually enough. Engineering, science and trade documents may need more, and rounding should happen only at the end of a calculation.
For any value, use the Arcminutes to Degrees Converter or browse all angle converters.
Run your own numbers: Arcminutes to Degrees Converter