Angle Unit Definitions
Our Angle Converter helps you convert between degrees, radians, gradians, and revolutions. Essential for engineers, architects, and students, this tool provides accurate angle conversions for geometry problems, trigonometry calculations, CAD design, and navigation applications.
Degree (°)
A degree is a unit of angular measurement. One full rotation equals 360 degrees. Degrees are divided into 60 minutes and 60 seconds. They are widely used in navigation, geography, and everyday measurements.
Radian (rad)
A radian is the SI unit of angular measurement. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius. One full rotation equals 2π radians.
Gradian (grad)
A gradian, also called a gon, equals 1/400 of a full rotation. One full rotation equals 400 gradians. The gradian is rarely used outside of surveying and some European countries.
Minute of Arc (arcmin)
A minute of arc or arcminute is 1/60 of a degree. It is denoted by the symbol (′). One degree equals 60 arcminutes. Arcminutes are commonly used in astronomy and navigation for measuring small angles.
Second of Arc (arcsec)
A second of arc or arcsecond is 1/60 of an arcminute or 1/3600 of a degree. It is denoted by the symbol (″). Arcseconds are used in astronomy for measuring very small angular distances between stars and celestial objects.
Turn/Revolution (rev)
A turn or revolution is a complete rotation, equal to 360 degrees or 2π radians. One turn represents a full circular rotation around a point. This unit is used in mechanics, robotics, and engineering for describing rotational motion.
Milliradian (mrad)
A milliradian is one-thousandth of a radian (0.001 rad). Milliradians are commonly used in military applications for estimating distances and in optics for measuring angular sizes. One milliradian equals approximately 3.44 arcminutes.
Frequently Asked Questions on Angle Conversion
Q: How to convert degrees to radians?
Multiply degrees by π/180. Example: 180° = π radians, 90° = π/2 radians.
Q: How many degrees are in a full circle?
A full circle has 360 degrees. In radians, this is 2π. In gradians, it's 400.
Q: What is a right angle in different units?
A right angle is 90 degrees, π/2 radians, 100 gradians, or ¼ of a full rotation.
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Our free online angle converter provides instant, accurate results for degrees to radians, radians to degrees, and gradians to degrees and more. Perfect for geometry, trigonometry, navigation, and angular measurements.