# Angle Unit Converters

## All-in-One Angle Converter

This all-in-one angle converter lets you calculate all angle units at once. Convert between angle units including angular mil, circle, degree, gon, gradian, arcminute, quadrant, radian, revolution, right angle, arcsecond, sextant, sign, and turn.

## All Angle Converters

The angle converters below provide more detail about converting between the individual angle units. Each one includes a definition of the individual angle units, step-by-step instructions on performing the conversion, conversion examples, together with conversion charts and other visualisations.

## What Angle Units Are Supported?

NameSymbolMeasurement SystemDescription
circlecircleNon-SI (International)A circle is not typically used as a unit of measure in the same way that units such as meters or seconds are used. However, there are some situations where the concept of a circle may be used as a unit of measure.
degree°Non-SI (International)A degree is a unit of measure for angles, which is used to quantify the size of an angle. One degree is defined as 1/360th of a full rotation, which is a complete revolution around a circle.
gongonNon-SI (International)The gon is a unit of measure for angles, which is used to quantify the size of an angle. One gon is defined as 1/400th of a full rotation, which is a complete revolution around a circle.
gradiangradNon-SI (International)The gradian is a unit of measure for angles, which is used to quantify the size of an angle. One gradian is defined as 1/400th of a full rotation, which is a complete revolution around a circle.
angular milµ milNon-SI (International)An angular mil, also known as a milliradian or mil, is a unit of angular measurement commonly used in military and long-range shooting applications. One mil is equal to 1/6400th of a circle or 1/1000th of a radian.
arcminutearcminNon-SI (International)An arcminute (or minute) is a unit of angular measurement that is often used as a subdivision of a degree. One degree is equal to 60 minutes.
quadrantquadrantNon-SI (International)A quadrant is an angular measure that is equal to one quarter of a circle or 90 degrees. The term "quadrant" comes from the Latin word "quadrans" which means "a quarter."
radianradInternational System of Units (SI) / Metric SystemA radian is a unit of angular measure that is used to quantify the size of an angle, particularly in trigonometry and calculus. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.
revolutionrevNon-SI (International)A revolution is a unit of angular measure that is equal to one complete turn around a circle, which is 360 degrees or 2π radians.
right angleright angleNon-SI (International)A right angle is not a unit of angular measure, but rather a specific type of angle that measures exactly 90 degrees, or one quarter of a full circle. A right angle is formed when two lines or segments intersect each other in such a way that they form two adjacent angles that are equal to each other and measure exactly 90 degrees.
arcsecondarcsecNon-SI (International)An arcsecond (or second) is a unit of angular measure that is used to measure very small angles, particularly in astronomy and geodesy. One second is defined as 1/3600th of a degree or 1/60th of a minute of arc.
sextantsextantNon-SI (International)A sextant is not a unit of angular measure, but rather a navigational instrument used to measure the angle between two objects, such as the horizon and a celestial object like the sun or a star. The sextant was originally developed for use in navigation at sea, and is still used today by sailors, aviators, and astronomers.
signsignNon-SI (International)Sign is a unit of angle used in astrology and defined as 1/12 of a turn or 30 degrees. This is so because astrologers divide the Sun’s annual path through the sky into 12 parts, which they call signs. Each sign corresponds to one of the twelve zodiacal constellations.
turntrNon-SI (International)A turn is a unit of angular measure that represents a full rotation around a point or axis. It is equivalent to 360 degrees or 2π radians.