Convert Arc Minutes (') to Degrees (°)
1 arc minute equals 0.0166667 degrees.
Arc Minute to Degree Converter
How to Convert Arc Minute to Degree
1 arc minute = 0.0166667 degrees
Degree = Arc Minute × 0.0166667
Example: 1' × 0.0166667 = 0.0166667°
Reverse Conversion
To convert degrees back to arc minutes:
- Remember, 1 degree equals 60 arc minutes.
- To convert 0.0166667° to', multiply
0.0166667 x 60, resulting in1'.
Common Arc Minute to Degree Conversions
| Arc Minute | Degree | Actions |
|---|---|---|
| 1 arc minute | 0.0166667 degrees | |
| 5 arc minutes | 112 degrees | |
| 10 arc minutes | 16 degrees | |
| 25 arc minutes | 0.416667 degrees |
| Arc Minute | Degree | Actions |
|---|---|---|
| 50 arc minutes | 0.833333 degrees | |
| 100 arc minutes | 1 23 degrees | |
| 500 arc minutes | 8 13 degrees | |
| 1000 arc minutes | 16.6667 degrees |
Arc minutes to degrees Conversion Table
Reference table with common arc minutes to degrees conversions. All values calculated with high precision.
Arc Minutes to Degrees Table
100 to 10000000
Definition of Degree
- Definition
The degree (°) is a non-SI unit of plane angle defined as 1/360 of a full rotation.
It is accepted for use with the SI due to its long-standing practical importance in navigation, surveying, engineering, astronomy, geodesy, and daily measurement.
- Exact factor
- 1° = π/180 rad (exact)
- Examples
- 90° = π/2 rad
- 45° = π/4 rad
- 360° = 1 turn
About the Degree
Facts & Uses
- Universal everyday angle unit: 1 full circle = 360°. Used in navigation, geometry, surveying, and almost all non-mathematical contexts.
- Standard for compass headings, latitude/longitude, roof pitch, camera fields of view, and geometric construction.
- Subdivisions: 1° = 60 arcminutes (′) = 3600 arcseconds (″); commonly used in astronomy and high-precision surveying.
- Common reference angles: 30°, 45°, 60°, 90° (right angle), 180° (straight angle), 360° (full circle).
Curiosities
- The 360° convention dates back to ancient Babylonian astronomy (~2400 BCE), based on a sexagesimal (base-60) number system and an approximation of 360 days per year.
- 360 was kept partly because of its many divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24… — making fractions of a circle easy without decimals.
- The degree is not part of the SI but is one of the units accepted for use with the SI system.
- Approximate equivalents: 1° = π/180 rad ≈ 0.01745 rad ≈ 1.111 grad.
Sources
Frequently Asked Questions
How many degrees are in one arc minute?
One arc minute equals 0.0166667 degrees. To convert, multiply the arc minute value by 0.0166667. For the reverse, divide the degree value by 0.0166667 (or multiply by 60).
What is 100 arc minutes in degrees?
100 arc minutes = 1 23 degrees. This is one of the most commonly searched conversions for this pair.
Is the arc minute-to-degree conversion exact?
Yes. The factor 0.0166667 is exact by international definition, not an approximation. Any imprecision comes only from the original measurement, not the conversion.
Looking for the reverse? Convert Degree to Arc Minute
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