Convert Degrees (°) to Arc Minutes (')
1 degree equals 60 arc minutes.
Degree to Arc Minute Converter
How to Convert Degree to Arc Minute
1 degree = 60 arc minutes
Arc Minute = Degree × 60
Example: 1° × 60 = 60'
Reverse Conversion
To convert arc minutes back to degrees:
- Remember, 1 arc minute equals 0.0166667 degrees.
- To convert 60' to°, multiply
60 x 0.0166667, resulting in1°.
Common Degree to Arc Minute Conversions
| Degree | Arc Minute | Actions |
|---|---|---|
| 1 degree | 60 arc minutes | |
| 5 degrees | 300 arc minutes | |
| 10 degrees | 600 arc minutes | |
| 25 degrees | 1500 arc minutes |
| Degree | Arc Minute | Actions |
|---|---|---|
| 50 degrees | 3000 arc minutes | |
| 100 degrees | 6000 arc minutes | |
| 500 degrees | 30000 arc minutes | |
| 1000 degrees | 60000 arc minutes |
Degrees to arc minutes Conversion Table
Reference table with common degrees to arc minutes 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 arc minutes are in one degree?
One degree equals 60 arc minutes. To convert, multiply the degree value by 60. For the reverse, divide the arc minute value by 60 (or multiply by 0.0166667).
What is 10 degrees in arc minutes?
10 degrees = 600 arc minutes. This is one of the most commonly searched conversions for this pair.
Is the degree-to-arc minute conversion exact?
Yes. The factor 60 is exact by international definition, not an approximation. Any imprecision comes only from the original measurement, not the conversion.
Looking for the reverse? Convert Arc Minute to Degree
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