Angle Converter
Convert degrees, radians, gradians, arcminutes and turns precisely.
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How to use Angle Converter
- Enter the angle in the “From” field — for example 45 for 45 degrees.
- Choose its unit in the first dropdown (Degree, Radian, Gradian, Arcminute…).
- Choose the target unit in the second dropdown — the converted angle appears instantly.
- Press the swap button to flip the conversion, e.g. degrees → radians into radians → degrees.
What is Angle Converter?
An angle converter translates angular measurements between units — degrees to radians, gradians to degrees, or arcseconds to degrees. The degree (360 to a full circle) is Babylonian heritage; the radian is the mathematician's unit, defined so a full circle is 2π radians, which makes calculus formulas clean — every programming language's trig functions expect radians.
The supporting cast: gradians (400 to a circle, used in surveying), arcminutes and arcseconds (1/60 and 1/3600 of a degree, the currency of astronomy, optics and GPS coordinates), and the turn — one full rotation, the most intuitive unit of all.
About the Angle Converter
This converter covers six units — degree, radian, gradian, arcminute, arcsecond and turn — converting between any pair instantly as you type.
The everyday case is degrees ↔ radians: code calling sin() needs radians, so 45° must become 0.7854 (π/4) before it goes in. Surveyors meet gradians on European instruments (a right angle = 100 grad); astronomers describe the Moon as 31 arcminutes wide; GPS coordinates use degrees-minutes-seconds where one arcsecond of latitude is about 31 meters on the ground.
Anchors: 180° = π rad ≈ 3.1416 rad, 1 rad ≈ 57.2958°, 90° = 100 grad = 0.25 turn. Conversions are exact and instant, computed in your browser.