Angle Converter

Enter an angle in any unit and see it in all the others at once — degrees, radians, gradians, turns, arcminutes, arcseconds, and NATO mils. Pick the unit you're starting from, type the value, and every row updates instantly with a copy button next to each result.

The two you'll reach for most are degrees and radians. Degrees are what most people think in (a right angle is 90°), while radians are what math and programming functions actually use (a right angle is π/2 ≈ 1.5708 rad). Getting that conversion right is the difference between a trig function returning 0.5 and returning nonsense, so having both side by side is handy when you're moving between a design value and code.

The less common units are here for the fields that use them: gradians in some surveying and engineering contexts, arcminutes and arcseconds in astronomy and navigation, turns for full rotations, and mils for military range estimation.

Every unit is defined by a factor relative to a base of degrees, so conversion is a two-step value → degrees → target unit calculation. The factors are exact where the definitions are exact: 1 radian = 180/π degrees, 1 gradian = 0.9°, 1 turn = 360°, 1 arcminute = 1/60°, 1 arcsecond = 1/3600°, and 1 NATO mil = 360/6400° (the NATO convention that divides a circle into 6400 mils).

Results are rounded to 8 decimal places, which is enough to keep radian and arcsecond conversions precise without showing floating-point dust. Because radians involve π, converting degrees to radians and back can land a hair off an exact fraction — that's the nature of representing π in decimal, not a rounding bug.

The whole thing runs in your browser with no network calls. Each output has a copy button that grabs the value with its unit symbol.

Most angle converters only do degrees and radians. This one shows all seven units simultaneously, which is faster when you're cross-referencing — you don't re-run the conversion for each target. If you only ever need degrees ↔ radians, any converter works; the value here is the full set in one view plus the specialist units (mils, gradians, arcseconds) that general converters skip.

For a single throwaway degrees-to-radians conversion you could also just multiply by π/180 in your head or code. This is for when you want to see the whole picture, confirm a value across units, or work with a unit you don't convert often enough to remember the factor for.