Angle Converter

Convert angles between degrees, radians, gradians, arcminutes, arcseconds, milliradians and turns.

What is the Angle Converter?

Angles measure rotation. Degrees are everyday units, radians are used in mathematics and programming, and arcminutes and seconds in navigation and astronomy.

How does it work?

Every unit is defined by an exact factor relative to the degree. The value is converted to the degree and then to the target unit, so any pair of units can be converted consistently. Results are shown with up to 10 significant digits.

Formula

radians = degrees × π ÷ 180

Example

90° = π/2 ≈ 1.5708 rad = 100 gradians.

Frequently asked questions

Why do programming languages use radians?

Radians make calculus formulas simpler, so Math.sin() and similar functions expect radians.

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