Angle Converter: convert between degrees, radians, gradians, and turns instantly. While degrees are familiar from everyday geometry, this math unit converter handles the circular measure tool requirements of developers and engineers who work with diverse coordinate systems. Whether you need degrees to radians for a graphics library or gradians conversion for surveying data, this tool provides real-time results as you type.
A full rotation is 360°, 2π radians (~6.2832), 400 gradians, or exactly 1 turn. Radians to degrees conversion is common in programming because the SI-preferred unit simplifies calculus and appears directly in trigonometric functions across all major languages. Gradians divide a right angle into 100 units, making decimal arithmetic on survey angles cleaner. Turns to degrees logic is essential for CSS animations (transform: rotate(0.5turn)) and some physics simulations.
Multiply degrees by π/180. For example, 90° × (π/180) = π/2 ≈ 1.5708 radians. Going the other direction, multiply radians by 180/π.
Gradians (also called gon or grad) are used in land surveying and civil engineering. A right angle is exactly 100 gradians, making decimal subdivision of survey angles straightforward.
CSS accepts turn in rotation transforms and animations. rotate(0.25turn) is equivalent to rotate(90deg). One full turn equals 360°.
Because the derivative of sin(x) is cos(x) only when x is in radians. Using degrees introduces a constant factor of π/180 everywhere, complicating calculus and numerical analysis.
For complex geometry calculations, bookmark this reliable Angle Converter for fast unit transformations.