Angle Converter
Convert degrees, radians, gradians, arcminutes, arcseconds, turns and milliradians. Type in any unit; all others update instantly.
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About This Converter
This angle converter supports 7 units used in mathematics, navigation, surveying, and engineering. Every calculation passes through a degree base, so results are precise whether you are converting radians for trigonometry, gradians for land surveying, or milliradians for ballistics. Arcminutes and arcseconds are essential for astronomy and GPS coordinates.
FAQ
What is the difference between radians and degrees?
Degrees divide a full circle into 360 equal parts. Radians measure the angle by the ratio of arc length to radius — a full circle is 2π radians (~6.2832). To convert: degrees = radians × (180/π). Radians are the standard unit in calculus and most programming languages.
What is a gradian?
A gradian (also called gon or grade) divides a right angle into 100 parts, making a full circle 400 gradians. It is widely used in surveying because the math with slopes and percentages becomes more intuitive. 1 gradian = 0.9 degrees.
How many arcminutes are in a degree?
There are 60 arcminutes (′) in 1 degree, and 60 arcseconds (″) in 1 arcminute. That means 1 degree = 3,600 arcseconds. These sub-divisions are essential in astronomy, navigation, and geographic coordinates.
Tips for entering values
Select the unit first, then enter a value once — every tile updates instantly.