Convert Arcsecond to Degree

Quick answer: Arcsecond to Degree

1 Arcsecond = 0.0002777778Degree (″ → °). To convert arcsecond to degree, multiply by 0.0002777778. To convert degree to arcsecond, multiply by 3,600. 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 arcsecond-to-degree questions.

How to convert Arcsecond to Degree

To convert arcsecond to degree, multiply the number of arcsecond by the conversion factor 0.0002777778, because 1 ″ = 0.0002777778°. The conversion is linear, so the same factor works for any value — whole numbers, decimals or fractions. For the reverse direction, 1 ° = 3,600″, so you divide by 0.0002777778 (or multiply by 3,600) to turn degree back into arcsecond.

° = ″ × 0.0002777778  ·  ″ = ° × 3,600

1. Write down the value you want to convert, in arcsecond.
2. Multiply it by 0.0002777778.
3. The result is the same area/length/quantity expressed in degree.

Arcsecond to Degree — worked examples

Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5arcsecond is 0.001388889degree because 5 ″ × 0.0002777778 = 0.001388889 °.

Common Arcsecond to Degree conversions

These are the arcsecond-to-degree values people look up most often. Every figure is computed from the exact factor, so you can rely on them for quick reference:

• 1 arcsecond = 0.0002777778 degree
• 2 arcsecond = 0.0005555556 degree
• 2.5 arcsecond = 0.0006944444 degree
• 3 arcsecond = 0.0008333333 degree
• 4 arcsecond = 0.001111111 degree
• 5 arcsecond = 0.001388889 degree
• 6 arcsecond = 0.001666667 degree
• 7 arcsecond = 0.001944444 degree
• 8 arcsecond = 0.002222222 degree
• 9 arcsecond = 0.0025 degree
• 10 arcsecond = 0.002777778 degree
• 12 arcsecond = 0.003333333 degree
• 15 arcsecond = 0.004166667 degree
• 20 arcsecond = 0.005555556 degree
• 25 arcsecond = 0.006944444 degree
• 30 arcsecond = 0.008333333 degree
• 50 arcsecond = 0.01388889 degree
• 75 arcsecond = 0.02083333 degree
• 100 arcsecond = 0.02777778 degree
• 200 arcsecond = 0.05555556 degree
• 500 arcsecond = 0.1388889 degree
• 1000 arcsecond = 0.2777778 degree

Arcsecond to Degree conversion chart (both directions)

The chart below converts arcsecond to degree and degree to arcsecond side by side, so it works whichever way you need. 1 arcsecond = 0.0002777778degree, and 1 degree = 3,600arcsecond.

Arcsecond vs Degree: 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 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.

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.

Convert 1 Arcsecond to other units

It can help to see a arcsecond next to the other units it is commonly compared with. One arcsecond (″) is equal to:

Convert 1 Degree to other units

One degree (°) is equal to:

Tips for converting Arcsecond to Degree

• To go from arcsecond to degree, multiply by 0.0002777778; to go back, divide by 0.0002777778 (or multiply by 3,600).
• For a quick mental estimate, remember that 1 arcsecond ≈ 0.0002777778 degree, so 10 arcsecond ≈ 0.002777778 degree.
• 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 Arcsecond to Degree converter

Type a number into the Arcsecond field and the equivalent in Degree 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 Degree field to convert the other way (degree to arcsecond). 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 ″ = 0.0002777778°), 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 arcsecond-to-degree 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 degree are in 1 arcsecond?

1 arcsecond = 0.0002777778 degree (°). To convert any number of arcsecond to degree, multiply by 0.0002777778.

How do I convert arcsecond to degree?

Multiply the number of arcsecond by 0.0002777778. For example, 10 arcsecond = 10 × 0.0002777778 = 0.002777778 degree, and 25 arcsecond = 0.006944444 degree.

How many arcsecond are in 1 degree?

1 degree = 3,600 arcsecond. So to convert degree back to arcsecond, multiply by 3,600.

What is the formula to convert arcsecond to degree?

degree = arcsecond × 0.0002777778. The reverse formula is arcsecond = degree × 3,600.

How much is 100 arcsecond in degree?

100 arcsecond = 0.02777778 degree. (And 1000 arcsecond = 0.2777778 degree.)

Which is bigger, a arcsecond or a degree?

A degree is larger: 1 degree = 3,600 arcsecond.

Is this arcsecond to degree converter accurate?

Yes — every value is computed from the exact 0.0002777778 ° per ″ factor (not rounded look-up tables), and the factors are re-verified automatically on every update.

Can I convert degree to arcsecond too?

Yes. The converter works both ways — enter a value in either field. 1 degree = 3,600 arcsecond.

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• Degree to Arcsecond
• Radian to Degree
• Degree to Radian
• Degree to Gradian
• Gradian to Degree
• Turn to Degree
• Degree to Turn
• Degree to Arcminute
• Arcminute to Degree
• Arcminute to Arcsecond

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