Convert Degrees (°) to Arc Seconds (")
1 degree equals 3600 arc seconds.
Degree to Arc Second Converter
How to Convert Degree to Arc Second
1 degree = 3600 arc seconds
Arc Second = Degree × 3600
Example: 1° × 3600 = 3600"
Reverse Conversion
To convert arc seconds back to degrees:
- Remember, 1 arc second equals 0.000277778 degrees.
- To convert 3600" to°, multiply
3600 x 0.000277778, resulting in1°.
Common Degree to Arc Second Conversions
| Degree | Arc Second | Actions |
|---|---|---|
| 1 degree | 3600 arc seconds | |
| 5 degrees | 18000 arc seconds | |
| 10 degrees | 36000 arc seconds | |
| 25 degrees | 90000 arc seconds |
| Degree | Arc Second | Actions |
|---|---|---|
| 50 degrees | 180000 arc seconds | |
| 100 degrees | 360000 arc seconds | |
| 500 degrees | 1800000 arc seconds | |
| 1000 degrees | 3600000 arc seconds |
Degrees to arc seconds Conversion Table
Reference table with common degrees to arc seconds conversions. All values calculated with high precision.
Degrees to Arc Seconds Table
1 to 100000
Arc Seconds to Degrees Table
10000 to 1 × 109
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 seconds are in one degree?
One degree equals 3600 arc seconds. To convert, multiply the degree value by 3600. For the reverse, divide the arc second value by 3600 (or multiply by 0.000277778).
What is 10 degrees in arc seconds?
10 degrees = 36000 arc seconds. This is one of the most commonly searched conversions for this pair.
Is the degree-to-arc second conversion exact?
Yes. The factor 3600 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 Second to Degree
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