Convert between degrees, radians, gradians, and more
This angle converter supports six common angle units: Degrees (°), Radians (rad), Gradians (gon/grad), Minutes of arc ('), Seconds of arc ("), and Revolutions (turns). Convert between any pair or see all equivalents at once. Essential for trigonometry, navigation, surveying, astronomy, and engineering.
Select the unit you are converting from, enter the angle value, and click "Convert". The results table shows the equivalent angle in all six units. The default value of 180° demonstrates a half-turn: π radians, 200 gradians, or 0.5 revolutions.
Degrees divide a circle into 360 parts (with each degree further divided into 60 minutes and 60 seconds). Radians measure angle by the length of the arc on a unit circle: 2π radians equal a full circle (360°). The conversion is: radians = degrees × π / 180.
Gradians (also called gons or grads) divide a right angle into 100 parts, making a full circle 400 gradians. They are primarily used in surveying, civil engineering, and some European military applications because 1 grad = 0.01 right angle simplifies decimal calculations.