Convert Arcminute to Arcsecond
1 arcminute = 60 arcsecond (″). For example, 10 arcminute = 600 arcsecond and 100 arcminute = 6,000 arcsecond. Type any value below to convert arcminute to arcsecond both ways — it runs entirely in your browser.
Quick answer: Arcminute to Arcsecond
1 Arcminute = 60Arcsecond (′ → ″). To convert arcminute to arcsecond, multiply by 60. To convert arcsecond to arcminute, multiply by 0.01666667. 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 arcminute-to-arcsecond questions.
How to convert Arcminute to Arcsecond
To convert arcminute to arcsecond, multiply the number of arcminute by the conversion factor 60, because 1 ′ = 60″. The conversion is linear, so the same factor works for any value — whole numbers, decimals or fractions. For the reverse direction, 1 ″ = 0.01666667′, so you divide by 60 (or multiply by 0.01666667) to turn arcsecond back into arcminute.
″ = ′ × 60 ·
′ = ″ × 0.01666667
- Write down the value you want to convert, in arcminute.
- Multiply it by 60.
- The result is the same area/length/quantity expressed in arcsecond.
Arcminute to Arcsecond — worked examples
Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5arcminute is 300arcsecond because 5 ′ × 60 = 300 ″.
| Arcminute | Calculation | Arcsecond |
|---|---|---|
| 1′ | 1 ′ × 60 = 60 ″ | 60″ |
| 2′ | 2 ′ × 60 = 120 ″ | 120″ |
| 3′ | 3 ′ × 60 = 180 ″ | 180″ |
| 5′ | 5 ′ × 60 = 300 ″ | 300″ |
| 7′ | 7 ′ × 60 = 420 ″ | 420″ |
| 10′ | 10 ′ × 60 = 600 ″ | 600″ |
| 12′ | 12 ′ × 60 = 720 ″ | 720″ |
| 15′ | 15 ′ × 60 = 900 ″ | 900″ |
| 20′ | 20 ′ × 60 = 1,200 ″ | 1,200″ |
| 25′ | 25 ′ × 60 = 1,500 ″ | 1,500″ |
| 50′ | 50 ′ × 60 = 3,000 ″ | 3,000″ |
| 100′ | 100 ′ × 60 = 6,000 ″ | 6,000″ |
Common Arcminute to Arcsecond conversions
These are the arcminute-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 arcminute = 60 arcsecond
- 2 arcminute = 120 arcsecond
- 2.5 arcminute = 150 arcsecond
- 3 arcminute = 180 arcsecond
- 4 arcminute = 240 arcsecond
- 5 arcminute = 300 arcsecond
- 6 arcminute = 360 arcsecond
- 7 arcminute = 420 arcsecond
- 8 arcminute = 480 arcsecond
- 9 arcminute = 540 arcsecond
- 10 arcminute = 600 arcsecond
- 12 arcminute = 720 arcsecond
- 15 arcminute = 900 arcsecond
- 20 arcminute = 1,200 arcsecond
- 25 arcminute = 1,500 arcsecond
- 30 arcminute = 1,800 arcsecond
- 50 arcminute = 3,000 arcsecond
- 75 arcminute = 4,500 arcsecond
- 100 arcminute = 6,000 arcsecond
- 200 arcminute = 12,000 arcsecond
- 500 arcminute = 30,000 arcsecond
- 1000 arcminute = 60,000 arcsecond
Arcminute to Arcsecond conversion chart (both directions)
The chart below converts arcminute to arcsecond and arcsecond to arcminute side by side, so it works whichever way you need. 1 arcminute = 60arcsecond, and 1 arcsecond = 0.01666667arcminute.
| Arcminute → Arcsecond | Arcsecond → Arcminute |
|---|---|
| 0.25′ = 15″ | 0.25″ = 0.004166667′ |
| 0.5′ = 30″ | 0.5″ = 0.008333333′ |
| 1′ = 60″ | 1″ = 0.01666667′ |
| 2′ = 120″ | 2″ = 0.03333333′ |
| 3′ = 180″ | 3″ = 0.05′ |
| 4′ = 240″ | 4″ = 0.06666667′ |
| 5′ = 300″ | 5″ = 0.08333333′ |
| 6′ = 360″ | 6″ = 0.1′ |
| 7′ = 420″ | 7″ = 0.1166667′ |
| 8′ = 480″ | 8″ = 0.1333333′ |
| 9′ = 540″ | 9″ = 0.15′ |
| 10′ = 600″ | 10″ = 0.1666667′ |
| 12′ = 720″ | 12″ = 0.2′ |
| 15′ = 900″ | 15″ = 0.25′ |
| 20′ = 1,200″ | 20″ = 0.3333333′ |
| 25′ = 1,500″ | 25″ = 0.4166667′ |
| 30′ = 1,800″ | 30″ = 0.5′ |
| 40′ = 2,400″ | 40″ = 0.6666667′ |
| 50′ = 3,000″ | 50″ = 0.8333333′ |
| 75′ = 4,500″ | 75″ = 1.25′ |
| 100′ = 6,000″ | 100″ = 1.666667′ |
| 150′ = 9,000″ | 150″ = 2.5′ |
| 200′ = 12,000″ | 200″ = 3.333333′ |
| 250′ = 15,000″ | 250″ = 4.166667′ |
| 500′ = 30,000″ | 500″ = 8.333333′ |
| 1000′ = 60,000″ | 1000″ = 16.66667′ |
Arcminute vs Arcsecond: which is bigger?
A arcminute is the larger unit: one arcminute equals 60 arcseconds. Put another way, you need 60 arcseconds to make a single arcminute.
What is a Arcminute? History, origin and usage
The arcminute is one-sixtieth of a degree, inherited from the Babylonian base-60 system; its Latin name pars minuta prima means the “first small part” of a degree. This sexagesimal subdivision is the same tradition that gives us 60 minutes in an hour.
Arcminutes measure small angles in astronomy (the apparent sizes of planets and the Moon), in optometry (20/20 vision corresponds to resolving about one arcminute), and in navigation, where one arcminute of latitude is the historical basis of the nautical mile. Binoculars and telescopes often specify fields of view in arcminutes.
One arcminute of latitude originally defined the nautical mile, making Earth’s meridian about 21,600 arcminutes — and so about 21,600 nautical miles — around. The Moon and the Sun each appear roughly 30 arcminutes (half a degree) across in the sky.
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 Arcminute to other units
It can help to see a arcminute next to the other units it is commonly compared with. One arcminute (′) is equal to:
| 1 Arcminute equals | Unit |
|---|---|
| 0.0002908882rad | Radian |
| 0.01666667° | Degree |
| 0.01851852gon | Gradian |
| 0.0000462963turn | Turn |
| 60″ | 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 Arcminute to Arcsecond
- To go from arcminute to arcsecond, multiply by 60; to go back, divide by 60 (or multiply by 0.01666667).
- For a quick mental estimate, remember that 1 arcminute ≈ 60 arcsecond, so 10 arcminute ≈ 600 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 Arcminute to Arcsecond converter
Type a number into the Arcminute 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 arcminute). 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 ′ = 60″), 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 arcminute-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 arcminute?
- 1 arcminute = 60 arcsecond (″). To convert any number of arcminute to arcsecond, multiply by 60.
- How do I convert arcminute to arcsecond?
- Multiply the number of arcminute by 60. For example, 10 arcminute = 10 × 60 = 600 arcsecond, and 25 arcminute = 1,500 arcsecond.
- How many arcminute are in 1 arcsecond?
- 1 arcsecond = 0.01666667 arcminute. So to convert arcsecond back to arcminute, multiply by 0.01666667.
- What is the formula to convert arcminute to arcsecond?
- arcsecond = arcminute × 60. The reverse formula is arcminute = arcsecond × 0.01666667.
- How much is 100 arcminute in arcsecond?
- 100 arcminute = 6,000 arcsecond. (And 1000 arcminute = 60,000 arcsecond.)
- Which is bigger, a arcminute or a arcsecond?
- A arcminute is larger: 1 arcminute = 60 arcsecond.
- Is this arcminute to arcsecond converter accurate?
- Yes — every value is computed from the exact 60 ″ per ′ factor (not rounded look-up tables), and the factors are re-verified automatically on every update.
- Can I convert arcsecond to arcminute too?
- Yes. The converter works both ways — enter a value in either field. 1 arcsecond = 0.01666667 arcminute.