What is the difference between a Degree and a Radian?

A Degree divides a circle into 360 parts, common in everyday use. A Radian is based on the circle's radius and is the standard for mathematics and physics. A full circle has 360 degrees or 2π radians.

What is a Gradian (or Gon)?

A Gradian (also called a Gon) is a 'metric' unit of angle that divides a circle into 400 parts, making a right angle exactly 100 gradians. It is primarily used in surveying and civil engineering.

What are Arcminutes and Arcseconds used for?

Arcminutes (') and Arcseconds (") are precise subdivisions of a degree (1° = 60' = 3600"). They are essential for high-precision fields like astronomy, cartography (GPS coordinates), and optics.

What is the 'Sign' unit of angle?

The 'Sign' is an astrological unit of angle. It divides the 360-degree ecliptic into 12 equal parts, each corresponding to a zodiac sign. Therefore, one Sign is equal to exactly 30 degrees.

Free Angle Converter | Degrees, Radians, Mils & Gradians

Instantly convert between Degrees, Radians, Gradians, Mils, and even astrological Signs. Our free, comprehensive Angle Converter provides fast, accurate results for any calculation.

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About the Angle Converter

Angles are the cornerstone of geometry, trigonometry, and countless fields of science, engineering, and even art. While the degree is the most familiar unit, a vast number of other systems are used in specialized disciplines. The Angle Converter from TechnoCodex is a comprehensive and precise tool designed to bridge all these different systems, allowing you to instantly and accurately convert between a wide variety of angular measurements.

This angle conversion calculator is an essential resource for students, mathematicians, engineers, surveyors, astronomers, and designers. We have expanded our tool to be one of the most complete on the web. The ability to seamlessly convert degrees to radians is fundamental in science, while converting to Gradians (Gons) is vital in surveying. For high-precision fields like astronomy, converting to arcminutes and arcseconds is a daily task. We have also included units like the Revolution, Quadrant, military Mil, and even the astrological Sign to provide a complete solution for any application.

How to Use the Angle Converter

Our tool is designed for speed and simplicity. Get your conversion in three easy steps:

Enter Your Value: Type the angular measurement you wish to convert into the “Amount” field.
Select Your Units: Choose your starting unit and target unit from the extensive dropdown menus.
Click “Convert”: The accurate converted angle will immediately appear in the result box.

Understanding the Key Units of Angle

Our converter includes a wide range of units to cover nearly every possible use case:

Degree (°): The most common unit, dividing a full circle into 360 parts.
Radian (rad): The standard SI unit, based on the radius of a circle. A full circle is 2π radians.
Gradian / Gon (grad): A metric unit dividing a circle into 400 parts, where a right angle is 100 gradians. Used in surveying.
Arcminute (‘) & Arcsecond (“): Precise subdivisions of a degree (1° = 60′ = 3600″), essential for astronomy and GPS.
Revolution / Turn: The simplest unit, where one revolution is one full 360° rotation.
Mil (NATO): A military unit dividing a circle into 6400 parts, used in artillery and ballistics.
Quadrant: A simple unit representing 1/4 of a circle, or 90°.
Octant: A unit representing 1/8 of a circle, or 45°.
Sign: An astrological unit that divides a circle into 12 parts, where one Sign is equal to 30°.

Common Use Cases and Applications

Mathematics & Physics: An essential tool for students and professionals to convert degrees to radians for trigonometric functions and rotational dynamics.
Astronomy & Navigation: Convert celestial positions and GPS coordinates between degrees, arcminutes, and arcseconds.
Surveying & Civil Engineering: Switch between degrees and Gradians (Gons) for land measurement and mapping.
Engineering & Robotics: Use radians, revolutions, and degrees to define the range of motion for mechanical joints.
Astrology & History: Convert between degrees and Signs for historical or astrological calculations.

By providing the most comprehensive and reliable platform available, the TechnoCodex Angle Converter is the definitive resource for anyone who needs to work confidently with any unit of angular measurement.