Angle Converter

Convert between different Angle units quickly and accurately.

Formula: 1 ° = 0.017453 rad

All Conversions

About Angle Conversion

Our Angle converter allows you to quickly convert between 5 different Angle units. Simply enter a value, select your source unit and target unit, and get instant results.

Available Units:

Degree°
Radianrad
Gradiangon
Arc Minute'
Arc Second"

What is Angle Conversion?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles are important in geometry, trigonometry, and many practical applications.

Historical Background

Angle measurement originated in ancient astronomy and mathematics. The Babylonians developed the 360-degree system, which is still used today. Radians, based on the relationship between arc length and radius, became important in calculus and advanced mathematics.

Applications

Angle conversion is essential in mathematics, engineering, navigation, and construction. It's used in surveying, machinery design, robotics, astronomy, and computer graphics. Different fields prefer different units, making conversion necessary.

Common Conversions:

Common angle conversions include degrees to radians (180° = π radians), degrees to gradians (90° = 100 gradians), and degrees to arcminutes/arcseconds for precise measurements in astronomy and navigation.

Popular Conversions