Angle Converter

Convert between degrees, radians and gradians.

Result

Result

1° = 0.0174533 rad

Convert any angle unit

Convert between degrees, radians and gradians. The result updates as you type, and negative angles work.

A full turn is 360 degrees, 2π radians or 400 gradians. The gradian, also called a gon, is exactly 0.9 degrees, so degrees and gradians convert exactly.

Units at a glance

Angle units and their sizes
Unit Symbol Size
degrees ° The base unit for angle.
radians rad 1 radian = 57.2957795131 degrees
gradians grad 1 gradian = 0.9 degrees

Radians in calculators and code

Programming languages and most scientific calculators use radians for trigonometric functions. If a sine or cosine looks wrong, check whether the angle was given in degrees.

π

Radians are shown as decimals, so 180 degrees appears as 3.14159 rather than "π". Choose more decimal places, or the maximum precision, if you need more digits.

Background and method