Angle Converter
Convert angles between degrees, radians, gradians, and more. Our easy-to-use angle converter ensures precise measurements for geometry and trigonometry.
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Did You Know?
Degree
A degree is a unit of angular measurement, with 360 degrees making up a full circle. It is widely used in mathematics, physics, engineering, and everyday life for describing angles and rotations, and can be further divided into minutes and seconds of arc for more precise measurements.
Radian
A radian is the standard unit of angular measure in many areas of mathematics. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle, with approximately 6.28318 radians in a full circle.
Frequently Asked Questions
Using the Angle Converter is simple. Enter the value you want to convert in the 'Amount to convert' field. Then, select the unit you're converting from in the 'Convert from' dropdown and the unit you're converting to in the 'Convert to' dropdown. The result will instantly appear in the 'Output' box below.
The Angle Converter supports a wide range of angle units, including degrees, radians, gradians, minutes of arc, seconds of arc, and more. You can easily convert between any of these units by selecting them from the dropdown menus.
No, you won't lose your data when refreshing the page. The Angle Converter preserves your input and conversion settings even after a page reload, ensuring you can continue working without losing any information.
The Angle Converter provides highly accurate results, using precise mathematical formulas for conversions. It maintains accuracy up to several decimal places, making it suitable for both everyday use and more specialized applications.
Absolutely! The Angle Converter is designed to be responsive and works well on various devices, including smartphones and tablets. You can perform angle conversions on-the-go with the same ease as on a desktop computer.
About the Units
Minute of Arc
A minute of arc, also known as an arcminute, is a unit of angular measurement equal to 1/60 of a degree. It is commonly used in fields such as astronomy, navigation, and surveying for precise angular measurements, with 21,600 minutes of arc making up a complete circle.
Second of Arc
A second of arc, or arcsecond, is a unit of angular measurement equal to 1/3600 of a degree. This extremely precise unit is primarily used in astronomy, geodesy, and other scientific fields requiring high accuracy, with 1,296,000 seconds of arc comprising a full circle.
Circle
In angular measurement, a circle represents a complete rotation and is equal to 360 degrees. It serves as the foundation for all other angular units and is fundamental in geometry, trigonometry, and various practical applications such as navigation and engineering.
Gon
A gon, also known as a grade or gradian, is a unit of angular measurement where a right angle is equal to 100 gons. There are 400 gons in a full circle, making it particularly useful in surveying and engineering due to its decimal nature.
Grad
A grad, also called a gon or gradian, is a metric unit of plane angle measurement where a right angle is 100 grads. With 400 grads in a full circle, this unit is often used in surveying, cartography, and some European countries for its ease of decimal calculations.
NATO Mil
The NATO mil is a unit of angular measurement used in artillery, targeting, and navigation within NATO countries. One NATO mil is defined as 1/6400 of a circle, providing a precise method for measuring small angles in military applications.
Soviet Mil
The Soviet mil is an angular measurement unit used in former Soviet and some Eastern European military equipment. It differs slightly from the NATO mil, with one Soviet mil defined as 1/6000 of a circle, used for artillery, navigation, and targeting purposes.
Swedish Mil
The Swedish mil is a unit of angular measurement historically used in Sweden and some Nordic countries. It is defined as 1/6300 of a circle, falling between the NATO and Soviet mil definitions, and was primarily used in military applications and navigation.
Octant
An octant is an angular measurement representing one-eighth of a circle or 45 degrees. This unit is occasionally used in navigation, mathematics, and some scientific fields when dividing a circle into eight equal parts is beneficial.
Quadrant
A quadrant is a unit of angular measurement equal to one-fourth of a circle or 90 degrees. It corresponds to a right angle and is frequently used in trigonometry, navigation, and various scientific and engineering applications.
Revolution
A revolution, in the context of angular measurement, refers to one complete rotation or 360 degrees. This unit is commonly used in physics, engineering, and everyday situations to describe full rotations of objects or circular motions.
Sextant
A sextant, as an angular measurement, represents one-sixth of a circle or 60 degrees. While more commonly known as a navigational instrument, the term can also be used to describe this specific angle in mathematical and astronomical contexts.
Sign
In angular measurement, a sign represents 30 degrees or 1/12 of a circle. This unit has its roots in astronomy and astrology, where it corresponds to the 12 astrological signs, each occupying a 30-degree sector of the celestial sphere.
Turn
A turn is a unit of plane angle measurement representing one full rotation or 360 degrees. It is equivalent to one revolution and is sometimes used in mathematics and physics as an alternative to degrees or radians for describing complete rotations.