Convert Degree to Arcsecond
1 degree = 3,600 arcsecond (″). For example, 10 degree = 36,000 arcsecond and 100 degree = 360,000 arcsecond. Type any value below to convert degree to arcsecond both ways — it runs entirely in your browser.
Quick answer: Degree to Arcsecond
1 Degree = 3,600Arcsecond (° → ″). To convert degree to arcsecond, multiply by 3,600. To convert arcsecond to degree, multiply by 0.0002777778. The converter at the top does this instantly and both ways; the sections below give the formula, worked examples, a full conversion chart and answers to the most common degree-to-arcsecond questions.
How to convert Degree to Arcsecond
To convert degree to arcsecond, multiply the number of degree by the conversion factor 3,600, because 1 ° = 3,600″. The conversion is linear, so the same factor works for any value — whole numbers, decimals or fractions. For the reverse direction, 1 ″ = 0.0002777778°, so you divide by 3,600 (or multiply by 0.0002777778) to turn arcsecond back into degree.
″ = ° × 3,600 ·
° = ″ × 0.0002777778
- Write down the value you want to convert, in degree.
- Multiply it by 3,600.
- The result is the same area/length/quantity expressed in arcsecond.
Degree to Arcsecond — worked examples
Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5degree is 18,000arcsecond because 5 ° × 3,600 = 18,000 ″.
| Degree | Calculation | Arcsecond |
|---|---|---|
| 1° | 1 ° × 3,600 = 3,600 ″ | 3,600″ |
| 2° | 2 ° × 3,600 = 7,200 ″ | 7,200″ |
| 3° | 3 ° × 3,600 = 10,800 ″ | 10,800″ |
| 5° | 5 ° × 3,600 = 18,000 ″ | 18,000″ |
| 7° | 7 ° × 3,600 = 25,200 ″ | 25,200″ |
| 10° | 10 ° × 3,600 = 36,000 ″ | 36,000″ |
| 12° | 12 ° × 3,600 = 43,200 ″ | 43,200″ |
| 15° | 15 ° × 3,600 = 54,000 ″ | 54,000″ |
| 20° | 20 ° × 3,600 = 72,000 ″ | 72,000″ |
| 25° | 25 ° × 3,600 = 90,000 ″ | 90,000″ |
| 50° | 50 ° × 3,600 = 180,000 ″ | 180,000″ |
| 100° | 100 ° × 3,600 = 360,000 ″ | 360,000″ |
Common Degree to Arcsecond conversions
These are the degree-to-arcsecond values people look up most often. Every figure is computed from the exact factor, so you can rely on them for quick reference:
- 1 degree = 3,600 arcsecond
- 2 degree = 7,200 arcsecond
- 2.5 degree = 9,000 arcsecond
- 3 degree = 10,800 arcsecond
- 4 degree = 14,400 arcsecond
- 5 degree = 18,000 arcsecond
- 6 degree = 21,600 arcsecond
- 7 degree = 25,200 arcsecond
- 8 degree = 28,800 arcsecond
- 9 degree = 32,400 arcsecond
- 10 degree = 36,000 arcsecond
- 12 degree = 43,200 arcsecond
- 15 degree = 54,000 arcsecond
- 20 degree = 72,000 arcsecond
- 25 degree = 90,000 arcsecond
- 30 degree = 108,000 arcsecond
- 50 degree = 180,000 arcsecond
- 75 degree = 270,000 arcsecond
- 100 degree = 360,000 arcsecond
- 200 degree = 720,000 arcsecond
- 500 degree = 1,800,000 arcsecond
- 1000 degree = 3,600,000 arcsecond
Degree to Arcsecond conversion chart (both directions)
The chart below converts degree to arcsecond and arcsecond to degree side by side, so it works whichever way you need. 1 degree = 3,600arcsecond, and 1 arcsecond = 0.0002777778degree.
| Degree → Arcsecond | Arcsecond → Degree |
|---|---|
| 0.25° = 900″ | 0.25″ = 0.00006944444° |
| 0.5° = 1,800″ | 0.5″ = 0.0001388889° |
| 1° = 3,600″ | 1″ = 0.0002777778° |
| 2° = 7,200″ | 2″ = 0.0005555556° |
| 3° = 10,800″ | 3″ = 0.0008333333° |
| 4° = 14,400″ | 4″ = 0.001111111° |
| 5° = 18,000″ | 5″ = 0.001388889° |
| 6° = 21,600″ | 6″ = 0.001666667° |
| 7° = 25,200″ | 7″ = 0.001944444° |
| 8° = 28,800″ | 8″ = 0.002222222° |
| 9° = 32,400″ | 9″ = 0.0025° |
| 10° = 36,000″ | 10″ = 0.002777778° |
| 12° = 43,200″ | 12″ = 0.003333333° |
| 15° = 54,000″ | 15″ = 0.004166667° |
| 20° = 72,000″ | 20″ = 0.005555556° |
| 25° = 90,000″ | 25″ = 0.006944444° |
| 30° = 108,000″ | 30″ = 0.008333333° |
| 40° = 144,000″ | 40″ = 0.01111111° |
| 50° = 180,000″ | 50″ = 0.01388889° |
| 75° = 270,000″ | 75″ = 0.02083333° |
| 100° = 360,000″ | 100″ = 0.02777778° |
| 150° = 540,000″ | 150″ = 0.04166667° |
| 200° = 720,000″ | 200″ = 0.05555556° |
| 250° = 900,000″ | 250″ = 0.06944444° |
| 500° = 1,800,000″ | 500″ = 0.1388889° |
| 1000° = 3,600,000″ | 1000″ = 0.2777778° |
Degree vs Arcsecond: which is bigger?
A degree is the larger unit: one degree equals 3,600 arcseconds. Put another way, you need 3,600 arcseconds to make a single degree.
What is a Degree? History, origin and usage
Dividing a circle into 360 degrees traces back to Babylonian astronomy and its base-60 (sexagesimal) number system, reinforced by the roughly 360-day ancient year in which the Sun seemed to advance about one degree each day. The number 360 was also prized for being divisible by so many factors.
The degree is the everyday angle unit for navigation, geography (latitude and longitude), construction, geometry teaching and most practical measurement. Its symbol is the small raised circle (°), and it subdivides into arcminutes and arcseconds.
360 is unusually divisible — it splits evenly by every whole number from 1 to 10 except 7 — which made it convenient long before modern arithmetic. A full circle is 360°, a right angle is 90°, and a single degree divides into 60 arcminutes.
What is a Arcsecond? History, origin and usage
The arcsecond is one-sixtieth of an arcminute, and so 1/3,600 of a degree — the second-level subdivision the Babylonians’ base-60 system implies, its Latin name pars minuta secunda meaning the “second small part.” This is literally the origin of the word “second” for the unit of time as well.
Arcseconds are the working unit of precise astronomy: star positions, the resolving power of telescopes, and the tiny parallax angles of nearby stars. The light-years-spanning parsec — short for “parallax of one arcsecond” — takes its very name and definition from this unit.
A parsec is defined as the distance at which one astronomical unit subtends an angle of one arcsecond. The Hubble Space Telescope can resolve detail down to about 0.1 arcsecond — comparable to telling apart objects a fraction of a metre apart from tens of kilometres away.
Convert 1 Degree to other units
It can help to see a degree next to the other units it is commonly compared with. One degree (°) is equal to:
| 1 Degree equals | Unit |
|---|---|
| 0.01745329rad | Radian |
| 1.111111gon | Gradian |
| 0.002777778turn | Turn |
| 60′ | Arcminute |
| 3,600″ | Arcsecond |
Convert 1 Arcsecond to other units
One arcsecond (″) is equal to:
| 1 Arcsecond equals | Unit |
|---|---|
| 0.000004848137rad | Radian |
| 0.0002777778° | Degree |
| 0.000308642gon | Gradian |
| 7.716e-7turn | Turn |
| 0.01666667′ | Arcminute |
Tips for converting Degree to Arcsecond
- To go from degree to arcsecond, multiply by 3,600; to go back, divide by 3,600 (or multiply by 0.0002777778).
- For a quick mental estimate, remember that 1 degree ≈ 3,600 arcsecond, so 10 degree ≈ 36,000 arcsecond.
- The converter above keeps full precision; the tables round for readability, so use the tool for exact figures.
- Both fields update live as you type — change either side to convert in that direction.
How to use this Degree to Arcsecond converter
Type a number into the Degree field and the equivalent in Arcsecond appears instantly — there is no “convert” button to press and nothing is sent to a server, so it works offline once the page has loaded and is safe for any data. You can also type into the Arcsecond field to convert the other way (arcsecond to degree). Use the swap control to flip the two units, and copy the result with a single click. Because the calculation runs in your browser with full floating-point precision, the converter is more exact than the rounded figures shown in the reference chart above — use the chart for quick look-ups and the tool for precise work.
Accuracy and method
Every figure on this page — the formula, the worked examples, the conversion chart and the “convert to other units” tables — is computed from a single verified conversion factor (1 ° = 3,600″), never copied from a hand-typed lookup table that could drift. That factor is derived from each unit’s definition in terms of a common base unit, and an automated check re-verifies all of the site’s factors on every update, so the numbers here stay correct over time. This matters for degree-to-arcsecond conversions because a small rounding error in a published table compounds quickly at larger quantities; computing from the exact factor avoids that.
Angle factors are exact, anchored to the radian: a full turn = 2π rad = 360° = 400 gon, 1° = 60 arcminutes, 1 arcminute = 60 arcseconds. So the live tool and every number on this page always agree.
Frequently asked questions
- How many arcsecond are in 1 degree?
- 1 degree = 3,600 arcsecond (″). To convert any number of degree to arcsecond, multiply by 3,600.
- How do I convert degree to arcsecond?
- Multiply the number of degree by 3,600. For example, 10 degree = 10 × 3,600 = 36,000 arcsecond, and 25 degree = 90,000 arcsecond.
- How many degree are in 1 arcsecond?
- 1 arcsecond = 0.0002777778 degree. So to convert arcsecond back to degree, multiply by 0.0002777778.
- What is the formula to convert degree to arcsecond?
- arcsecond = degree × 3,600. The reverse formula is degree = arcsecond × 0.0002777778.
- How much is 100 degree in arcsecond?
- 100 degree = 360,000 arcsecond. (And 1000 degree = 3,600,000 arcsecond.)
- Which is bigger, a degree or a arcsecond?
- A degree is larger: 1 degree = 3,600 arcsecond.
- Is this degree to arcsecond converter accurate?
- Yes — every value is computed from the exact 3,600 ″ per ° factor (not rounded look-up tables), and the factors are re-verified automatically on every update.
- Can I convert arcsecond to degree too?
- Yes. The converter works both ways — enter a value in either field. 1 arcsecond = 0.0002777778 degree.