Convert Arcsecond to Arcminute
1 arcsecond = 0.01666667 arcminute (′). For example, 10 arcsecond = 0.1666667 arcminute and 100 arcsecond = 1.666667 arcminute. Type any value below to convert arcsecond to arcminute both ways — it runs entirely in your browser.
Quick answer: Arcsecond to Arcminute
1 Arcsecond = 0.01666667Arcminute (″ → ′). To convert arcsecond to arcminute, multiply by 0.01666667. To convert arcminute to arcsecond, multiply by 60. 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-arcminute questions.
How to convert Arcsecond to Arcminute
To convert arcsecond to arcminute, multiply the number of arcsecond by the conversion factor 0.01666667, because 1 ″ = 0.01666667′. The conversion is linear, so the same factor works for any value — whole numbers, decimals or fractions. For the reverse direction, 1 ′ = 60″, so you divide by 0.01666667 (or multiply by 60) to turn arcminute back into arcsecond.
′ = ″ × 0.01666667 ·
″ = ′ × 60
- Write down the value you want to convert, in arcsecond.
- Multiply it by 0.01666667.
- The result is the same area/length/quantity expressed in arcminute.
Arcsecond to Arcminute — worked examples
Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5arcsecond is 0.08333333arcminute because 5 ″ × 0.01666667 = 0.08333333 ′.
| Arcsecond | Calculation | Arcminute |
|---|---|---|
| 1″ | 1 ″ × 0.01666667 = 0.01666667 ′ | 0.01666667′ |
| 2″ | 2 ″ × 0.01666667 = 0.03333333 ′ | 0.03333333′ |
| 3″ | 3 ″ × 0.01666667 = 0.05 ′ | 0.05′ |
| 5″ | 5 ″ × 0.01666667 = 0.08333333 ′ | 0.08333333′ |
| 7″ | 7 ″ × 0.01666667 = 0.1166667 ′ | 0.1166667′ |
| 10″ | 10 ″ × 0.01666667 = 0.1666667 ′ | 0.1666667′ |
| 12″ | 12 ″ × 0.01666667 = 0.2 ′ | 0.2′ |
| 15″ | 15 ″ × 0.01666667 = 0.25 ′ | 0.25′ |
| 20″ | 20 ″ × 0.01666667 = 0.3333333 ′ | 0.3333333′ |
| 25″ | 25 ″ × 0.01666667 = 0.4166667 ′ | 0.4166667′ |
| 50″ | 50 ″ × 0.01666667 = 0.8333333 ′ | 0.8333333′ |
| 100″ | 100 ″ × 0.01666667 = 1.666667 ′ | 1.666667′ |
Common Arcsecond to Arcminute conversions
These are the arcsecond-to-arcminute 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 = 0.01666667 arcminute
- 2 arcsecond = 0.03333333 arcminute
- 2.5 arcsecond = 0.04166667 arcminute
- 3 arcsecond = 0.05 arcminute
- 4 arcsecond = 0.06666667 arcminute
- 5 arcsecond = 0.08333333 arcminute
- 6 arcsecond = 0.1 arcminute
- 7 arcsecond = 0.1166667 arcminute
- 8 arcsecond = 0.1333333 arcminute
- 9 arcsecond = 0.15 arcminute
- 10 arcsecond = 0.1666667 arcminute
- 12 arcsecond = 0.2 arcminute
- 15 arcsecond = 0.25 arcminute
- 20 arcsecond = 0.3333333 arcminute
- 25 arcsecond = 0.4166667 arcminute
- 30 arcsecond = 0.5 arcminute
- 50 arcsecond = 0.8333333 arcminute
- 75 arcsecond = 1.25 arcminute
- 100 arcsecond = 1.666667 arcminute
- 200 arcsecond = 3.333333 arcminute
- 500 arcsecond = 8.333333 arcminute
- 1000 arcsecond = 16.66667 arcminute
Arcsecond to Arcminute conversion chart (both directions)
The chart below converts arcsecond to arcminute and arcminute to arcsecond side by side, so it works whichever way you need. 1 arcsecond = 0.01666667arcminute, and 1 arcminute = 60arcsecond.
| Arcsecond → Arcminute | Arcminute → Arcsecond |
|---|---|
| 0.25″ = 0.004166667′ | 0.25′ = 15″ |
| 0.5″ = 0.008333333′ | 0.5′ = 30″ |
| 1″ = 0.01666667′ | 1′ = 60″ |
| 2″ = 0.03333333′ | 2′ = 120″ |
| 3″ = 0.05′ | 3′ = 180″ |
| 4″ = 0.06666667′ | 4′ = 240″ |
| 5″ = 0.08333333′ | 5′ = 300″ |
| 6″ = 0.1′ | 6′ = 360″ |
| 7″ = 0.1166667′ | 7′ = 420″ |
| 8″ = 0.1333333′ | 8′ = 480″ |
| 9″ = 0.15′ | 9′ = 540″ |
| 10″ = 0.1666667′ | 10′ = 600″ |
| 12″ = 0.2′ | 12′ = 720″ |
| 15″ = 0.25′ | 15′ = 900″ |
| 20″ = 0.3333333′ | 20′ = 1,200″ |
| 25″ = 0.4166667′ | 25′ = 1,500″ |
| 30″ = 0.5′ | 30′ = 1,800″ |
| 40″ = 0.6666667′ | 40′ = 2,400″ |
| 50″ = 0.8333333′ | 50′ = 3,000″ |
| 75″ = 1.25′ | 75′ = 4,500″ |
| 100″ = 1.666667′ | 100′ = 6,000″ |
| 150″ = 2.5′ | 150′ = 9,000″ |
| 200″ = 3.333333′ | 200′ = 12,000″ |
| 250″ = 4.166667′ | 250′ = 15,000″ |
| 500″ = 8.333333′ | 500′ = 30,000″ |
| 1000″ = 16.66667′ | 1000′ = 60,000″ |
Arcsecond vs Arcminute: 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 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 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.
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:
| 1 Arcsecond equals | Unit |
|---|---|
| 0.000004848137rad | Radian |
| 0.0002777778° | Degree |
| 0.000308642gon | Gradian |
| 7.716e-7turn | Turn |
| 0.01666667′ | Arcminute |
Convert 1 Arcminute to other units
One arcminute (′) is equal to:
| 1 Arcminute equals | Unit |
|---|---|
| 0.0002908882rad | Radian |
| 0.01666667° | Degree |
| 0.01851852gon | Gradian |
| 0.0000462963turn | Turn |
| 60″ | Arcsecond |
Tips for converting Arcsecond to Arcminute
- To go from arcsecond to arcminute, multiply by 0.01666667; to go back, divide by 0.01666667 (or multiply by 60).
- For a quick mental estimate, remember that 1 arcsecond ≈ 0.01666667 arcminute, so 10 arcsecond ≈ 0.1666667 arcminute.
- 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 Arcminute converter
Type a number into the Arcsecond field and the equivalent in Arcminute 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 Arcminute field to convert the other way (arcminute 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 ″ = 0.01666667′), 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-arcminute 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 arcminute are in 1 arcsecond?
- 1 arcsecond = 0.01666667 arcminute (′). To convert any number of arcsecond to arcminute, multiply by 0.01666667.
- How do I convert arcsecond to arcminute?
- Multiply the number of arcsecond by 0.01666667. For example, 10 arcsecond = 10 × 0.01666667 = 0.1666667 arcminute, and 25 arcsecond = 0.4166667 arcminute.
- How many arcsecond are in 1 arcminute?
- 1 arcminute = 60 arcsecond. So to convert arcminute back to arcsecond, multiply by 60.
- What is the formula to convert arcsecond to arcminute?
- arcminute = arcsecond × 0.01666667. The reverse formula is arcsecond = arcminute × 60.
- How much is 100 arcsecond in arcminute?
- 100 arcsecond = 1.666667 arcminute. (And 1000 arcsecond = 16.66667 arcminute.)
- Which is bigger, a arcsecond or a arcminute?
- A arcminute is larger: 1 arcminute = 60 arcsecond.
- Is this arcsecond to arcminute converter accurate?
- Yes — every value is computed from the exact 0.01666667 ′ per ″ factor (not rounded look-up tables), and the factors are re-verified automatically on every update.
- Can I convert arcminute to arcsecond too?
- Yes. The converter works both ways — enter a value in either field. 1 arcminute = 60 arcsecond.