Arcminute () - Unit Information & Conversion

Symbol:
Plural:arcminutes
Category:Angle

🔄 Quick Convert Arcminute

What is a Arcminute?

Arcminute (arcmin or minute of arc) is 1/60 of a degree, measuring small angles in astronomy, surveying, and navigation. Symbol: ′ or arcmin. 1° = 60 arcminutes. Moon and Sun are each about 30 arcminutes in diameter.

History of the Arcminute

Derived from Babylonian sexagesimal (base-60) system used for astronomical measurements. Essential for precise celestial coordinates and navigation since ancient times.

Quick Answer

What is an Arcminute? An arcminute is 1/60 of a degree, used for measuring small angles. The Moon appears about 30 arcminutes wide in the sky. 1 arcminute = 60 arcseconds = 1/60 degree ≈ 0.0167°. Use our angle converter for instant conversions.

Definition

1 arcminute = 1/60 degree = 60 arcseconds ≈ 0.0167° ≈ 0.000291 radians

Symbol: ′ (prime) or arcmin

Common Uses

Astronomy: Measuring apparent sizes of celestial objects and their positions. Surveying: Land measurement and mapping precision. Navigation: GPS coordinates (latitude/longitude precision). Ophthalmology: Visual acuity testing (20/20 vision = 1 arcminute resolution).

Real-World Examples

Celestial Objects

  • Full Moon: ~30 arcminutes diameter
  • Sun: ~32 arcminutes diameter
  • Jupiter: ~45 arcseconds (0.75 arcminutes) at closest approach
  • Venus: ~60 arcseconds (1 arcminute) at brightest
  • Mars: ~25 arcseconds (0.42 arcminutes) at opposition

Navigation & Geography

  • GPS precision: Coordinates given to arcminutes (e.g., 40° 42′ N)
  • 1 arcminute latitude: ≈ 1 nautical mile (1.852 km)
  • 1 arcminute longitude: Varies by latitude (1.852 km at equator)

Vision & Optics

  • 20/20 vision: Ability to resolve 1 arcminute details
  • Perfect eyesight: Can distinguish letters 1 arcminute tall at 20 feet
  • Visual acuity: Measured in arcminutes of resolution

Arcminute Conversion Formulas

To Degree:

1 ′ = 0.016667 °
Example: 5 arcminutes = 0.083333 degrees

To Radian:

1 ′ = 0.000291 rad
Example: 5 arcminutes = 0.001454 radians

To Gradian:

1 ′ = 0.018519 grad
Example: 5 arcminutes = 0.092593 gradians

To Arcsecond:

1 ′ = 60 ″
Example: 5 arcminutes = 300 arcseconds

To Turn:

1 ′ = 0.000046 turn
Example: 5 arcminutes = 0.000231 turns

To Revolution:

1 ′ = 0.000046 rev
Example: 5 arcminutes = 0.000231 revolutions

To Quadrant:

1 ′ = 0.000185 quad
Example: 5 arcminutes = 0.000926 quadrants

To Gon:

1 ′ = 0.018519 gon
Example: 5 arcminutes = 0.092593 gons

To Mil:

1 ′ = 0.296296 mil
Example: 5 arcminutes = 1.481481 mils

Frequently Asked Questions

Formula: Degrees = Arcminutes ÷ 60 Examples:

Convert Arcminute

Need to convert Arcminute to other angle units? Use our conversion tool.