Convert Degree to Arcminute
1 degree = 60 arcminute (′). For example, 10 degree = 600 arcminute and 100 degree = 6,000 arcminute. Type any value below to convert degree to arcminute both ways — it runs entirely in your browser.
Quick answer: Degree to Arcminute
1 Degree = 60Arcminute (° → ′). To convert degree to arcminute, multiply by 60. To convert arcminute to degree, 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 degree-to-arcminute questions.
How to convert Degree to Arcminute
To convert degree to arcminute, multiply the number of degree 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 arcminute back into degree.
′ = ° × 60 ·
° = ′ × 0.01666667
- Write down the value you want to convert, in degree.
- Multiply it by 60.
- The result is the same area/length/quantity expressed in arcminute.
Degree to Arcminute — worked examples
Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5degree is 300arcminute because 5 ° × 60 = 300 ′.
| Degree | Calculation | Arcminute |
|---|---|---|
| 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 Degree to Arcminute conversions
These are the degree-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 degree = 60 arcminute
- 2 degree = 120 arcminute
- 2.5 degree = 150 arcminute
- 3 degree = 180 arcminute
- 4 degree = 240 arcminute
- 5 degree = 300 arcminute
- 6 degree = 360 arcminute
- 7 degree = 420 arcminute
- 8 degree = 480 arcminute
- 9 degree = 540 arcminute
- 10 degree = 600 arcminute
- 12 degree = 720 arcminute
- 15 degree = 900 arcminute
- 20 degree = 1,200 arcminute
- 25 degree = 1,500 arcminute
- 30 degree = 1,800 arcminute
- 50 degree = 3,000 arcminute
- 75 degree = 4,500 arcminute
- 100 degree = 6,000 arcminute
- 200 degree = 12,000 arcminute
- 500 degree = 30,000 arcminute
- 1000 degree = 60,000 arcminute
Degree to Arcminute conversion chart (both directions)
The chart below converts degree to arcminute and arcminute to degree side by side, so it works whichever way you need. 1 degree = 60arcminute, and 1 arcminute = 0.01666667degree.
| Degree → Arcminute | Arcminute → Degree |
|---|---|
| 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° |
Degree vs Arcminute: 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 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 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 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 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 Degree to Arcminute
- To go from degree to arcminute, multiply by 60; to go back, divide by 60 (or multiply by 0.01666667).
- For a quick mental estimate, remember that 1 degree ≈ 60 arcminute, so 10 degree ≈ 600 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 Degree to Arcminute converter
Type a number into the Degree 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 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 ° = 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 degree-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 degree?
- 1 degree = 60 arcminute (′). To convert any number of degree to arcminute, multiply by 60.
- How do I convert degree to arcminute?
- Multiply the number of degree by 60. For example, 10 degree = 10 × 60 = 600 arcminute, and 25 degree = 1,500 arcminute.
- How many degree are in 1 arcminute?
- 1 arcminute = 0.01666667 degree. So to convert arcminute back to degree, multiply by 0.01666667.
- What is the formula to convert degree to arcminute?
- arcminute = degree × 60. The reverse formula is degree = arcminute × 0.01666667.
- How much is 100 degree in arcminute?
- 100 degree = 6,000 arcminute. (And 1000 degree = 60,000 arcminute.)
- Which is bigger, a degree or a arcminute?
- A degree is larger: 1 degree = 60 arcminute.
- Is this degree to arcminute 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 arcminute to degree too?
- Yes. The converter works both ways — enter a value in either field. 1 arcminute = 0.01666667 degree.