Angle Converter (degrees, radians, gradians, ...)

Convert an angle between degrees, radians, gradians, arcminutes, arcseconds, and full turns. Runs entirely in your browser.

How it works

Every unit is converted through a common base unit — the radian, the angle at which arc length equals the radius (2π radians = 360° = one full turn). Gradians (also called "gon") divide a right angle into 100 units instead of 90, a leftover from surveying and some scientific calculators.

Common conversions

FromToResult
90°rad1.5708 rad (π/2)
180°rad3.14159 rad (π)
1 turn°360°
100 gon°90°

FAQ

How many radians is 360 degrees?

2π radians, approximately 6.2832 rad — one full turn.

What is a gradian used for?

Gradians (gons) split a right angle into 100 units instead of 90, which simplifies some surveying and artillery calculations; they're rare outside those fields today.