Angle Conversion
1 ° =
rad
About Angle Conversions
An angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
The radian (rad) is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius. Other common units include degrees (°), gradians (grad), and revolutions (rev).
Angle conversion is essential in mathematics, physics, engineering, navigation, and many other fields. Different angle units are often used in different contexts:
degrees in everyday life and navigation, radians in mathematics and physics, and gradians in some engineering applications.
A full circle is equal to 2π radians, 360 degrees, 400 gradians, or 1 revolution.
Common Angle Conversions
Angle Units Explained
Degree (°)
A degree is a unit of angle equal to 1/360 of a full rotation. It is the most commonly used unit of angle in everyday life.
Radian (rad)
A radian is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius. A full circle is 2π radians.
Gradian (grad)
A gradian, also called a gon, is a unit of angle equal to 1/400 of a full rotation. It was introduced as part of the metric system and is used in some fields of engineering and surveying.
Arcminute (′)
An arcminute is a unit of angle equal to 1/60 of a degree. It is commonly used in astronomy, navigation, and angular measurement.
Arcsecond (″)
An arcsecond is a unit of angle equal to 1/60 of an arcminute or 1/3600 of a degree. It is commonly used in astronomy, navigation, and angular measurement.
Revolution (rev)
A revolution is a unit of angle equal to a full rotation or 360 degrees. It is commonly used in engineering and physics when describing rotational motion.
All Angle Units
- Degree(°)
- Radian(rad)
- Gradian(grad)
- Arcminute(′)
- Arcsecond(″)
- Revolution(rev)