Convert Arc Seconds (") to Degrees (°)
1 arc second equals 0.000277778 degrees.
Arc Second to Degree Converter
How to Convert Arc Second to Degree
1 arc second = 0.000277778 degrees
Degree = Arc Second × 0.000277778
Example: 1" × 0.000277778 = 0.000277778°
Reverse Conversion
To convert degrees back to arc seconds:
- Remember, 1 degree equals 3600 arc seconds.
- To convert 0.000277778° to", multiply
0.000277778 x 3600, resulting in1".
Common Arc Second to Degree Conversions
| Arc Second | Degree | Actions |
|---|---|---|
| 1 arc second | 0.000277778 degrees | |
| 5 arc seconds | 0.00138889 degrees | |
| 10 arc seconds | 0.00277778 degrees | |
| 25 arc seconds | 0.00694444 degrees |
| Arc Second | Degree | Actions |
|---|---|---|
| 50 arc seconds | 0.0138889 degrees | |
| 100 arc seconds | 0.0277778 degrees | |
| 500 arc seconds | 0.138889 degrees | |
| 1000 arc seconds | 0.277778 degrees |
Arc seconds to degrees Conversion Table
Reference table with common arc seconds to degrees conversions. All values calculated with high precision.
Arc Seconds to Degrees Table
10000 to 1 × 109
Degrees to Arc Seconds Table
1 to 100000
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 second?
One arc second equals 0.000277778 degrees. To convert, multiply the arc second value by 0.000277778. For the reverse, divide the degree value by 0.000277778 (or multiply by 3600).
What is 100 arc seconds in degrees?
100 arc seconds = 0.027778 degrees. This is one of the most commonly searched conversions for this pair.
Is the arc second-to-degree conversion exact?
Yes. The factor 0.000277778 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 Second
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