Angle Converter

Every angle unit is linked to a single base unit, the degree, through a fixed conversion factor, and the tool multiplies your entered value by the starting unit's factor before dividing by the target unit's factor. Degrees split a full circle into 360 equal parts, a system dating back to ancient astronomy, while radians describe angles based on the radius of a circle and are the standard unit in most higher mathematics and physics.

Gradians, also called gons, divide a right angle into 100 parts instead of 90, making a full circle equal to 400 gradians, a system created to simplify certain surveying calculations using decimal arithmetic. Arcminutes and arcseconds subdivide the degree further, with 60 arcminutes in a degree and 60 arcseconds in an arcminute, commonly used in astronomy, navigation, and precise geographic coordinates. A turn simply represents one complete rotation, equal to 360 degrees or 2 pi radians.

To convert, select your starting unit and the unit you want, then enter a value; the result updates immediately as you type. A table beneath the main result lists that same angle expressed in every supported unit at once, so you can see degrees, radians, and gradians side by side, and you can adjust how many decimal places are shown in the displayed results.

Say you want to convert 2 radians into degrees. The tool multiplies 2 by the radian factor, approximately 57.29577951, giving about 114.5915590 degrees.

If you then wanted gradians instead, the tool would take that same degree value and divide by the gradian factor, 0.9 degrees per gradian, giving roughly 127.3239544 gradians. Because both results are derived from the same underlying degree value, switching the target unit only changes how the angle is expressed, never the actual angle being measured, so comparisons across units, whether degrees, radians, gradians, or turns, stay reliable and consistent with each other.