Convert Arcminutes to Degrees
Instantly convert Arcminutes (′) to Degrees (°) with our free online calculator.
Formula: ′ to ° — multiply by 0.0166667
Reference Table
| Arcminutes (′) | Degrees (°) |
|---|---|
| 1 | 0.0166667 |
| 5 | 0.0833333 |
| 10 | 0.166667 |
| 25 | 0.416667 |
| 50 | 0.833333 |
| 100 | 1.66667 |
How to Convert Arcminutes to Degrees
Formula
To convert Arcminutes (′) to Degrees (°): multiply by 0.0166667
Step-by-Step
- Start with your value in Arcminutes (′).
- Multiply by 0.0166667 to perform the conversion.
- The result is your value expressed in Degrees (°).
Conversion Factor
1 ′ = 0.0166667 °
Reverse Factor
1 ° = 60 ′
Worked Example
Convert 25 Arcminutes to Degrees: 25 ′ = 0.416667 °
About Arcminute (′)
A unit of plane angle equal to exactly 1/60 of a degree (= π/10,800 rad ≈ 2.909 × 10⁻⁴ rad). Arcminutes are the standard sub-degree unit in observational astronomy (the angular diameter of Jupiter from Earth ranges 30-50 arcmin depending on orbit position; the Moon and Sun are both ~30 arcmin = 0.5° across), optometry and ophthalmology (visual acuity per Snellen test: 20/20 vision corresponds to resolving a black bar with a 1-arcmin gap at 20 feet — the universally-used definition of 'normal' visual acuity), surveying and geodesy (USGS topographic-map quad sheets are 7.5 arcmin × 7.5 arcmin), and aviation/maritime navigation. The arcminute has a direct distance interpretation in navigation: one arcminute of latitude along any meridian equals exactly one international nautical mile (1,852 m by the 1929 IHB definition) — the historic basis for both units. Symbol ′ (prime); not to be confused with the foot-symbol ′.
About Degree (°)
A unit of plane angle equal to exactly 1/360 of a full rotation (= π/180 radians), inherited from ancient Babylonian astronomy's sexagesimal (base-60) number system circa 2000 BCE — the 360-degree convention reflects the ~360-day Babylonian solar year. Degrees are the universal everyday angle unit in non-scientific contexts: compass bearings and ship/aircraft heading per ICAO and IMO conventions (0° = magnetic north, 90° = east), latitude / longitude geographic coordinates per WGS84 (the GPS datum), machine-tool protractors and CNC G-code, GIS data (Esri ArcGIS, QGIS), CAD-software 2D-sketch dimensions (Autodesk Inventor, SolidWorks, Fusion 360, CATIA), and architectural drawings. Reference values: a right angle is exactly 90°, a straight line 180°, a full turn 360°, an equilateral triangle has 60° interior angles, a regular pentagon 108°, a regular hexagon 120°. Trigonometry education worldwide introduces sine and cosine in degrees before transitioning students to radians for calculus. Convert degrees to radians by multiplying by π/180 ≈ 0.01745.
Quick Facts
- 1 Arcminute equals 0.0166667 Degrees
- 1 Degree equals 60 Arcminutes
- Arcminute is a unit of angle
- Degree is a unit of angle
- This conversion is commonly used in surveying, navigation, trigonometry, and mechanical design
Common Arcminute to Degree Conversions
| Arcminutes (′) | Degrees (°) |
|---|---|
| 0.01 | 0.000166667 |
| 0.1 | 0.00166667 |
| 0.25 | 0.00416667 |
| 0.5 | 0.00833333 |
| 1 | 0.0166667 |
| 2 | 0.0333333 |
| 3 | 0.05 |
| 5 | 0.0833333 |
| 10 | 0.166667 |
| 15 | 0.25 |
| 20 | 0.333333 |
| 25 | 0.416667 |
| 50 | 0.833333 |
| 75 | 1.25 |
| 100 | 1.66667 |
| 250 | 4.16667 |
| 500 | 8.33333 |
| 1000 | 16.6667 |
| 5000 | 83.3333 |
| 10000 | 166.667 |
Understanding Arcminutes
The Arcminute (symbol: ′) is a unit of angle. A unit of plane angle equal to exactly 1/60 of a degree (= π/10,800 rad ≈ 2.909 × 10⁻⁴ rad). Arcminutes are the standard sub-degree unit in observational astronomy (the angular diameter of Jupiter from Earth ranges 30-50 arcmin depending on orbit position; the Moon and Sun are both ~30 arcmin = 0.5° across), optometry and ophthalmology (visual acuity per Snellen test: 20/20 vision corresponds to resolving a black bar with a 1-arcmin gap at 20 feet — the universally-used definition of 'normal' visual acuity), surveying and geodesy (USGS topographic-map quad sheets are 7.5 arcmin × 7.5 arcmin), and aviation/maritime navigation. The arcminute has a direct distance interpretation in navigation: one arcminute of latitude along any meridian equals exactly one international nautical mile (1,852 m by the 1929 IHB definition) — the historic basis for both units. Symbol ′ (prime); not to be confused with the foot-symbol ′.
Arcminutes are commonly used in surveying, navigation, trigonometry, and mechanical design.
Understanding Degrees
The Degree (symbol: °) is a unit of angle. A unit of plane angle equal to exactly 1/360 of a full rotation (= π/180 radians), inherited from ancient Babylonian astronomy's sexagesimal (base-60) number system circa 2000 BCE — the 360-degree convention reflects the ~360-day Babylonian solar year. Degrees are the universal everyday angle unit in non-scientific contexts: compass bearings and ship/aircraft heading per ICAO and IMO conventions (0° = magnetic north, 90° = east), latitude / longitude geographic coordinates per WGS84 (the GPS datum), machine-tool protractors and CNC G-code, GIS data (Esri ArcGIS, QGIS), CAD-software 2D-sketch dimensions (Autodesk Inventor, SolidWorks, Fusion 360, CATIA), and architectural drawings. Reference values: a right angle is exactly 90°, a straight line 180°, a full turn 360°, an equilateral triangle has 60° interior angles, a regular pentagon 108°, a regular hexagon 120°. Trigonometry education worldwide introduces sine and cosine in degrees before transitioning students to radians for calculus. Convert degrees to radians by multiplying by π/180 ≈ 0.01745.
Degrees are commonly used in surveying, navigation, trigonometry, and mechanical design.
Why Convert Arcminutes to Degrees?
Converting between Arcminutes and Degrees is a frequent requirement for engineers, scientists, and students working with angle values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angle conversion is essential.
Frequently Asked Questions
How do I convert Arcminutes to Degrees?
A unit of plane angle equal to exactly 1/60 of a degree (= π/10,800 rad ≈ 2. To convert Arcminutes to Degrees, multiply by 0.0166667. For example, 25 ′ equals 0.416667 °.
How many Degrees are in 1 Arcminute?
There are 0.0166667 Degrees in 1 Arcminute.
How many Arcminutes are in 1 Degree?
There are 60 Arcminutes in 1 Degree.
What is the formula for Arcminute to Degree conversion?
The formula is: multiply by 0.0166667. This means 1 ′ = 0.0166667 °.
Is a Arcminute bigger than a Degree?
Yes. One Arcminute is larger than one Degree because 1 ′ equals 0.0166667 °, which is less than 1.
When do you need to convert between Arcminutes and Degrees?
A unit of plane angle equal to exactly 1/360 of a full rotation (= π/180 radians), inherited from ancient Babylonian astronomy's sexagesimal (base-60) number system circa 2000 BCE — the 360-degree convention reflects the... Arcminute and Degree are both angle units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.