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.

angular mil

µ mil

grad

arcmin

rad

rev

arcsec

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.

Convert Circles To Arcminutes

Convert Degrees To Radians

Convert Arcminutes To Circles

Convert Arcminutes To Arcseconds

Convert Quadrants To Radians

Convert Radians To Degrees

Convert Radians To Quadrants

Convert Radians To Revolutions

Convert Revolutions To Radians

Convert Arcseconds To Arcminutes

What Angle Units Are Supported?

Name	Symbol	Measurement System	Description
circle	circle	Non-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.
gon	gon	Non-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.
gradian	grad	Non-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 mil	µ mil	Non-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.
arcminute	arcmin	Non-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.
quadrant	quadrant	Non-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."
radian	rad	International System of Units (SI) / Metric System	A 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.
revolution	rev	Non-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 angle	right angle	Non-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.
arcsecond	arcsec	Non-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.
sextant	sextant	Non-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.
sign	sign	Non-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.
turn	tr	Non-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.