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Angle

Convert between different units of angular measurement used in mathematics, navigation, astronomy, and engineering

Angle Converter

Convert between different units of angular measurement used in mathematics, navigation, astronomy, and engineering

Conversion Result

1°
Degree
=
0rad
Radian

Fun Facts

Full Circle (360°)
A complete rotation. Like when you're looking for your phone while talking on it.

About Angle

Explore the various units used to measure angles across different disciplines and throughout history

Historical Context

Angular measurement has ancient origins in astronomy, navigation, and mathematics. The Babylonians developed the sexagesimal (base-60) system around 3000 BCE, which gave us the degree (1/360 of a circle), minute (1/60 of a degree), and second (1/60 of a minute). The radian, a more mathematically natural unit, was introduced in the 18th century. Military applications led to the development of the mil for artillery targeting, while navigation systems created compass points and other specialized units.

Modern Standards

Today, the degree remains the most commonly used angular unit in everyday applications, engineering, and navigation. The radian is the standard unit in mathematics, physics, and the SI system of units. Specialized fields maintain their own units: astronomy uses hour angles and arcminutes/arcseconds for precise celestial measurements; military applications use mils; and surveying often employs grads/gons. Computer graphics sometimes use binary angular measures like the binary radian (brad) where a full circle is divided into 256 units for computational efficiency.

Did you know?

Select a unit to see interesting facts about it.

Conversion Reference

Quick reference for common angle conversions

Common Units

Degree

Radian

Grad/Gon

Turn/Revolution

Subdivisions

Arcminute

Arcsecond

Milliradian

Microarcsecond

Military & Navigation

NATO Mil

Artillery Mil (6400)

Artillery Mil (6300)

Compass Point

Astronomical

Hour Angle

Zodiac Sign

Parsec Angular Equivalent

Geometric Divisions

Quadrant

Sextant

Octant

Right Angle

Computing & Technical

Binary Radian

Binary Degree

Pi Fraction

Cycle