Angle Converter

Convert degrees

• Degrees to Radians
• Degrees to Gradians
• Degrees to Arcminutes
• Degrees to Arcseconds
• Degrees to Turns

Convert radians

• Radians to Degrees
• Radians to Gradians
• Radians to Arcminutes
• Radians to Arcseconds
• Radians to Turns

Convert gradians

• Gradians to Degrees
• Gradians to Radians
• Gradians to Turns

Convert arcminutes

• Arcminutes to Degrees
• Arcminutes to Radians
• Arcminutes to Arcseconds

Convert arcseconds

• Arcseconds to Degrees
• Arcseconds to Radians
• Arcseconds to Arcminutes

Convert turns

• Turns to Degrees
• Turns to Radians
• Turns to Gradians

Angle units

Degree (°)

A degree is 1/360 of a full turn. It is the everyday unit of angle, used in geometry, navigation and geographic coordinates.

Radian (rad)

The radian is the SI unit of angle: the angle at the center of a circle subtended by an arc equal in length to the radius. A full turn is 2π radians, so one radian is 180/π degrees, about 57.2958°.

Gradian (gon)

A gradian, also called a gon or grad, is 1/400 of a full turn, exactly 0.9 degrees, so a right angle is 100 gradians. It is used in surveying, mainly in continental Europe.

Arcminute (′)

An arcminute, or minute of arc, is 1/60 of a degree. It is used in navigation, astronomy and geographic coordinates.

Arcsecond (″)

An arcsecond, or second of arc, is 1/60 of an arcminute, or 1/3600 of a degree. It is used in astronomy and precise surveying.

Turn (tr)

A turn, or revolution, is one complete rotation: exactly 360 degrees or 2π radians. It is used for rotating machinery and for counting rotations.

Milliradian (mrad)

A milliradian is one thousandth of a radian, about 0.0573 degrees. It is used for rifle scope adjustments and beam divergence; one milliradian subtends about 1 meter at a distance of 1000 meters.