Convert Arcseconds to Degrees
Instantly convert Arcseconds (″) to Degrees (°) with our free online calculator.
Formula: ″ to ° — multiply by 2.7778e-4
Reference Table
| Arcseconds (″) | Degrees (°) |
|---|---|
| 1 | 0.000277778 |
| 5 | 0.00138889 |
| 10 | 0.00277778 |
| 25 | 0.00694444 |
| 50 | 0.0138889 |
| 100 | 0.0277778 |
How to Convert Arcseconds to Degrees
Formula
To convert Arcseconds (″) to Degrees (°): multiply by 2.7778e-4
Step-by-Step
- Start with your value in Arcseconds (″).
- Multiply by 2.7778e-4 to perform the conversion.
- The result is your value expressed in Degrees (°).
Conversion Factor
1 ″ = 0.000277778 °
Reverse Factor
1 ° = 3600 ″
Worked Example
Convert 25 Arcseconds to Degrees: 25 ″ = 0.00694444 °
About Arcsecond (″)
A unit of plane angle equal to exactly 1/3600 of a degree (= 1/60 of an arcminute = π/648,000 rad ≈ 4.848 × 10⁻⁶ rad). Arcseconds are the working unit of modern observational astronomy: stellar parallax (the parsec — fundamental astronomical distance unit — is defined as the distance at which one astronomical unit subtends one arcsecond), telescope angular resolution (Hubble Space Telescope ~0.05 arcsec; the Extremely Large Telescope under construction ~0.005 arcsec diffraction-limited; the Event Horizon Telescope reached ~20 microarcseconds to image M87* and Sgr A* black-hole shadows), and astrometric catalogs (Gaia DR3 reports positions and proper motions in microarcseconds for ~1.8 billion stars). Geodetic GPS and high-precision surveying also specify coordinate accuracy in arcseconds, where sub-arcsecond resolution corresponds to centimeter-level positioning on Earth (1 arcsec of latitude ≈ 31 m at the equator). Symbol ″ (double prime); not to be confused with the inch-symbol ″.
About Degree (°)
A unit of plane angle equal to exactly 1/360 of a full rotation (= π/180 radians), inherited from ancient Babylonian astronomy's sexagesimal (base-60) number system circa 2000 BCE — the 360-degree convention reflects the ~360-day Babylonian solar year. Degrees are the universal everyday angle unit in non-scientific contexts: compass bearings and ship/aircraft heading per ICAO and IMO conventions (0° = magnetic north, 90° = east), latitude / longitude geographic coordinates per WGS84 (the GPS datum), machine-tool protractors and CNC G-code, GIS data (Esri ArcGIS, QGIS), CAD-software 2D-sketch dimensions (Autodesk Inventor, SolidWorks, Fusion 360, CATIA), and architectural drawings. Reference values: a right angle is exactly 90°, a straight line 180°, a full turn 360°, an equilateral triangle has 60° interior angles, a regular pentagon 108°, a regular hexagon 120°. Trigonometry education worldwide introduces sine and cosine in degrees before transitioning students to radians for calculus. Convert degrees to radians by multiplying by π/180 ≈ 0.01745.
Quick Facts
- 1 Arcsecond equals 0.000277778 Degrees
- 1 Degree equals 3600 Arcseconds
- Arcsecond is a unit of angle
- Degree is a unit of angle
- This conversion is commonly used in surveying, navigation, trigonometry, and mechanical design
Common Arcsecond to Degree Conversions
| Arcseconds (″) | Degrees (°) |
|---|---|
| 0.01 | 0.00000277778 |
| 0.1 | 0.0000277778 |
| 0.25 | 0.0000694444 |
| 0.5 | 0.000138889 |
| 1 | 0.000277778 |
| 2 | 0.000555556 |
| 3 | 0.000833333 |
| 5 | 0.00138889 |
| 10 | 0.00277778 |
| 15 | 0.00416667 |
| 20 | 0.00555556 |
| 25 | 0.00694444 |
| 50 | 0.0138889 |
| 75 | 0.0208333 |
| 100 | 0.0277778 |
| 250 | 0.0694444 |
| 500 | 0.138889 |
| 1000 | 0.277778 |
| 5000 | 1.38889 |
| 10000 | 2.77778 |
Understanding Arcseconds
The Arcsecond (symbol: ″) is a unit of angle. A unit of plane angle equal to exactly 1/3600 of a degree (= 1/60 of an arcminute = π/648,000 rad ≈ 4.848 × 10⁻⁶ rad). Arcseconds are the working unit of modern observational astronomy: stellar parallax (the parsec — fundamental astronomical distance unit — is defined as the distance at which one astronomical unit subtends one arcsecond), telescope angular resolution (Hubble Space Telescope ~0.05 arcsec; the Extremely Large Telescope under construction ~0.005 arcsec diffraction-limited; the Event Horizon Telescope reached ~20 microarcseconds to image M87* and Sgr A* black-hole shadows), and astrometric catalogs (Gaia DR3 reports positions and proper motions in microarcseconds for ~1.8 billion stars). Geodetic GPS and high-precision surveying also specify coordinate accuracy in arcseconds, where sub-arcsecond resolution corresponds to centimeter-level positioning on Earth (1 arcsec of latitude ≈ 31 m at the equator). Symbol ″ (double prime); not to be confused with the inch-symbol ″.
Arcseconds are commonly used in surveying, navigation, trigonometry, and mechanical design.
Understanding Degrees
The Degree (symbol: °) is a unit of angle. A unit of plane angle equal to exactly 1/360 of a full rotation (= π/180 radians), inherited from ancient Babylonian astronomy's sexagesimal (base-60) number system circa 2000 BCE — the 360-degree convention reflects the ~360-day Babylonian solar year. Degrees are the universal everyday angle unit in non-scientific contexts: compass bearings and ship/aircraft heading per ICAO and IMO conventions (0° = magnetic north, 90° = east), latitude / longitude geographic coordinates per WGS84 (the GPS datum), machine-tool protractors and CNC G-code, GIS data (Esri ArcGIS, QGIS), CAD-software 2D-sketch dimensions (Autodesk Inventor, SolidWorks, Fusion 360, CATIA), and architectural drawings. Reference values: a right angle is exactly 90°, a straight line 180°, a full turn 360°, an equilateral triangle has 60° interior angles, a regular pentagon 108°, a regular hexagon 120°. Trigonometry education worldwide introduces sine and cosine in degrees before transitioning students to radians for calculus. Convert degrees to radians by multiplying by π/180 ≈ 0.01745.
Degrees are commonly used in surveying, navigation, trigonometry, and mechanical design.
Why Convert Arcseconds to Degrees?
Converting between Arcseconds and Degrees is a frequent requirement for engineers, scientists, and students working with angle values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angle conversion is essential.
Frequently Asked Questions
How do I convert Arcseconds to Degrees?
A unit of plane angle equal to exactly 1/3600 of a degree (= 1/60 of an arcminute = π/648,000 rad ≈ 4. To convert Arcseconds to Degrees, multiply by 2.7778e-4. For example, 25 ″ equals 0.00694444 °.
How many Degrees are in 1 Arcsecond?
There are 0.000277778 Degrees in 1 Arcsecond.
How many Arcseconds are in 1 Degree?
There are 3600 Arcseconds in 1 Degree.
What is the formula for Arcsecond to Degree conversion?
The formula is: multiply by 2.7778e-4. This means 1 ″ = 0.000277778 °.
Is a Arcsecond bigger than a Degree?
Yes. One Arcsecond is larger than one Degree because 1 ″ equals 0.000277778 °, which is less than 1.
When do you need to convert between Arcseconds and Degrees?
A unit of plane angle equal to exactly 1/360 of a full rotation (= π/180 radians), inherited from ancient Babylonian astronomy's sexagesimal (base-60) number system circa 2000 BCE — the 360-degree convention reflects the... Arcsecond and Degree are both angle units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.