Convert Arcminute to Degree
1 arcminute = 0.01666667 degree (°). For example, 10 arcminute = 0.1666667 degree and 100 arcminute = 1.666667 degree. Type any value below to convert arcminute to degree both ways — it runs entirely in your browser.
Quick answer: Arcminute to Degree
1 Arcminute = 0.01666667Degree (′ → °). To convert arcminute to degree, multiply by 0.01666667. To convert degree to arcminute, 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 arcminute-to-degree questions.
How to convert Arcminute to Degree
To convert arcminute to degree, multiply the number of arcminute 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 degree back into arcminute.
° = ′ × 0.01666667 ·
′ = ° × 60
- Write down the value you want to convert, in arcminute.
- Multiply it by 0.01666667.
- The result is the same area/length/quantity expressed in degree.
Arcminute to Degree — worked examples
Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5arcminute is 0.08333333degree because 5 ′ × 0.01666667 = 0.08333333 °.
| Arcminute | Calculation | Degree |
|---|---|---|
| 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 Arcminute to Degree conversions
These are the arcminute-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 arcminute = 0.01666667 degree
- 2 arcminute = 0.03333333 degree
- 2.5 arcminute = 0.04166667 degree
- 3 arcminute = 0.05 degree
- 4 arcminute = 0.06666667 degree
- 5 arcminute = 0.08333333 degree
- 6 arcminute = 0.1 degree
- 7 arcminute = 0.1166667 degree
- 8 arcminute = 0.1333333 degree
- 9 arcminute = 0.15 degree
- 10 arcminute = 0.1666667 degree
- 12 arcminute = 0.2 degree
- 15 arcminute = 0.25 degree
- 20 arcminute = 0.3333333 degree
- 25 arcminute = 0.4166667 degree
- 30 arcminute = 0.5 degree
- 50 arcminute = 0.8333333 degree
- 75 arcminute = 1.25 degree
- 100 arcminute = 1.666667 degree
- 200 arcminute = 3.333333 degree
- 500 arcminute = 8.333333 degree
- 1000 arcminute = 16.66667 degree
Arcminute to Degree conversion chart (both directions)
The chart below converts arcminute to degree and degree to arcminute side by side, so it works whichever way you need. 1 arcminute = 0.01666667degree, and 1 degree = 60arcminute.
| Arcminute → Degree | Degree → Arcminute |
|---|---|
| 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′ |
Arcminute vs Degree: which is bigger?
A degree is the larger unit: one degree equals 60 arcminutes. Put another way, you need 60 arcminutes to make a single degree.
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 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 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 Degree to other units
One degree (°) is equal to:
| 1 Degree equals | Unit |
|---|---|
| 0.01745329rad | Radian |
| 1.111111gon | Gradian |
| 0.002777778turn | Turn |
| 60′ | Arcminute |
| 3,600″ | Arcsecond |
Tips for converting Arcminute to Degree
- To go from arcminute to degree, multiply by 0.01666667; to go back, divide by 0.01666667 (or multiply by 60).
- For a quick mental estimate, remember that 1 arcminute ≈ 0.01666667 degree, so 10 arcminute ≈ 0.1666667 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 Arcminute to Degree converter
Type a number into the Arcminute 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 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 ′ = 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 arcminute-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 arcminute?
- 1 arcminute = 0.01666667 degree (°). To convert any number of arcminute to degree, multiply by 0.01666667.
- How do I convert arcminute to degree?
- Multiply the number of arcminute by 0.01666667. For example, 10 arcminute = 10 × 0.01666667 = 0.1666667 degree, and 25 arcminute = 0.4166667 degree.
- How many arcminute are in 1 degree?
- 1 degree = 60 arcminute. So to convert degree back to arcminute, multiply by 60.
- What is the formula to convert arcminute to degree?
- degree = arcminute × 0.01666667. The reverse formula is arcminute = degree × 60.
- How much is 100 arcminute in degree?
- 100 arcminute = 1.666667 degree. (And 1000 arcminute = 16.66667 degree.)
- Which is bigger, a arcminute or a degree?
- A degree is larger: 1 degree = 60 arcminute.
- Is this arcminute to degree 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 degree to arcminute too?
- Yes. The converter works both ways — enter a value in either field. 1 degree = 60 arcminute.