Angle Converter
Convert between degrees, radians, gradians, and turns. Also shows the angle\u2019s trig values.
Inputs
Degrees
โ
Radians
โ
Gradians
โ
Turns
โ
Trig values
โ
About Angle Converter
Why radians?
Radians make calculus formulas clean: d/dx sin(x) = cos(x) only when x is in radians. Programmers should know Math.sin etc. take radians, not degrees.
Gradians (gons)
Used in surveying and continental Europe: a right angle is 100 gradians, a full circle 400. Mostly historical now, but you may see "gon" on old maps and instruments.
Convert quickly
Memorize: 180ยฐ = ฯ rad. So 30ยฐ = ฯ/6, 45ยฐ = ฯ/4, 60ยฐ = ฯ/3, 90ยฐ = ฯ/2. Or: rad ร (180/ฯ) โ rad ร 57.30 = degrees.