Arcminute to Degree Converter
Convert arcminute to degree instantly. 1 arcminute = 0.016667 degree.
Arcminute to Degree Table
| Arcminute | Degree |
|---|---|
| 1 ' | 0.016667 ° |
| 5 ' | 0.083333 ° |
| 10 ' | 0.166667 ° |
| 30 ' | 0.5 ° |
| 45 ' | 0.75 ° |
| 90 ' | 1.5 ° |
| 180 ' | 3.0 ° |
| 360 ' | 6.0 ° |
Related Conversions
Quick Answer
Formula: Degree = Arcminute × 0.01667
Multiply any arcminute value by 0.01667 to get degree.
Reverse: Arcminute = Degree × 60
Worked Examples
Arcminute to Degree Conversion Table
Common arcminute values — factor: 1 ′ = 0.01667 °
| Arcminute (′) | Degree (°) | Context |
|---|---|---|
| 1 ′ | 0.01667 ° | 1′ resolution |
| 5 ′ | 0.08333 ° | 5′ |
| 10 ′ | 0.1667 ° | 10′ |
| 30 ′ | 0.5 ° | 0.5° |
| 60 ′ | 1 ° | 1° |
| 120 ′ | 2 ° | 2° |
| 300 ′ | 5 ° | 5° |
| 600 ′ | 10 ° | 10° |
| 900 ′ | 15 ° | 15° |
| 1800 ′ | 30 ° | 30° |
| 3600 ′ | 60 ° | 60° |
| 5400 ′ | 90 ° | 90° right angle |
| 1.08e+04 ′ | 180 ° | 180° |
| 2.16e+04 ′ | 360 ° | 360° full circle |
| 4.32e+04 ′ | 720 ° | 720° |
Mental Math Tricks
Arcminutes ÷ 60 = degrees. Exact.
60′ = 1°, 3,600′ = 60°.
Degrees × 60 = arcminutes.
Who Uses This Conversion?
Measures angular separation of stars, planets, and galaxies in arcminutes.
Uses arcminutes for sextant readings — 1 arcminute = 1 nautical mile on Earth.
Assesses visual acuity in arcminutes — 20/20 vision resolves 1 arcminute features.
Describes field of view and pointing accuracy in arcminutes for optical telescopes.
Measures solar and lunar angular diameters (~30-31 arcminutes) for eclipse calculations.
Works with geographic coordinates where position precision is often expressed in arcminutes.
Related Conversions
Frequently Asked Questions
About Arcminute and Degree
Arcminute (′)
The arcminute (′) is 1/60 of a degree. The subdivision of degrees into 60 parts follows the Babylonian sexagesimal system. In astronomy, arcminutes have been used to describe angular separations since antiquity.
Arcminutes are used in astronomy (angular size of the Moon ≈ 31′), navigation (1 arcminute of latitude ≈ 1 nautical mile — the origin of the nautical mile definition), and ophthalmology (20/20 vision corresponds to resolving features 1 arcminute apart).
Interesting fact: The full Moon subtends about 31 arcminutes in the sky. Human visual acuity limit is about 1 arcminute — the basis of the 20/20 vision standard.
Degree (°)
The degree (°) divides a full circle into 360 equal parts. This system traces back to ancient Babylonian astronomy, which used a base-60 (sexagesimal) number system. The choice of 360 is practical: it is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, and 120.
Degrees remain the dominant angle unit in everyday life, navigation, surveying, and most engineering disciplines. Compass bearings, latitude and longitude, and architectural drawings all use degrees.
Interesting fact: The Babylonians may have chosen 360 because they approximated the solar year as 360 days, making each day of travel correspond to one degree of the Sun's apparent annual motion around the sky.
About Arcminute to Degree Conversion
Converting arcminute to degree is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 90 °. A full circle (360°) = 360 °. Reverse: 1 ° = 60 ′. Exact factor: 1 ′ = 0.01667 °.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.