What is Angle Converter?

The Angle Converter instantly converts between degrees, radians, gradians, turns, arc minutes/seconds, milliradians, and NATO and artillery mils. Useful for trigonometry, engineering, optics, and any work involving angular measurements.

Every unit stays in sync as you type — change one field and the rest recompute instantly using degrees as the internal pivot. Alongside the usual degrees, radians, gradians and turns, it covers milliradians and NATO and artillery mils for optics and ballistics work, while arc minutes and arc seconds keep their full precision so you can paste astronomical coordinates or surveying notes without rounding errors creeping in.

How to use

1. Enter a numeric value in any angle unit field — degrees, radians, gradians, or turns.
2. All other unit fields update automatically in real time as you type.
3. Copy any converted value with one click to use in your calculations or documents.

When to use

• Translating a trigonometry homework angle between degrees and radians before plugging into sin or cos.
• Reading a survey or telescope coordinate written in arc minutes and seconds.
• Working with CAD or CNC software where some menus accept gradians and others degrees.

Result

Enter 180 degrees to see it equals π radians (3.14159...), 200 gradians, and 0.5 turns. Enter 1 radian to see 57.2958 degrees.

FAQ

What is the difference between degrees, radians and gradians?

A full circle is 360 degrees, 2π radians or 400 gradians. Degrees come from Babylonian base-60 maths, radians fall out naturally from the unit circle, and gradians divide a right angle into 100 parts for surveying work.

When should I prefer radians over degrees?

Use radians for any calculus or physics work — derivatives of sin and cos are clean only when the input is in radians. Stick with degrees for everyday geometry, navigation, and human-facing readouts where the numbers are easier to picture.

How precise are the conversions?

Values are kept to 12 significant figures internally and rendered with up to 10 fractional digits, which is well below the precision of standard double-precision floats. For most engineering and astronomy work this is more than enough.

What is a 'turn' and why is it useful?

One turn equals one full revolution, so 1 turn = 360° = 2π rad. It is the natural unit for rotational motion, gear ratios, and animations where you care about full spins more than fractional angles.

How do arc minutes and arc seconds relate to degrees?

One degree splits into 60 arc minutes, and one arc minute into 60 arc seconds, so 1° = 3600 arc seconds. Astronomers, surveyors and GPS coordinates rely on this finer breakdown for positions that need sub-degree accuracy.

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