Turn to Degree Converter
Enter a value to instantly convert between angle units.
1 Turn = 360 Degree
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
° = tr × 360A turn (also called a revolution or rotation) is one complete 360° rotation. Turns provide intuitive language for describing rotations: "turn left a quarter turn" (90°) is clearer than "rotate 90 degrees." In animation, robotics, and mechanical systems, engineers often think in terms of full rotations. Converting turns to degrees bridges this intuitive understanding with precise angular measurements. One turn always equals 360 degrees, making this one of the simplest but most practical conversions.
Source: NIST SP 811, Table B.8
Frequently Asked Questions
Real-World Examples
Quarter turn. A right-angle rotation—the basis for Cartesian coordinate systems and navigation.
0.25 tr = 90 °
Half turn. Complete reversal—you're facing the opposite direction. Used in animation keyframes and mechanical flips.
0.5 tr = 180 °
Full turn. One complete rotation. A spinning object returns to its original orientation after 1 turn.
1 tr = 360 °
Two-and-a-half turns. An extra 1.5 full rotations beyond a baseline. Common in gymnastics (e.g., 2.5 spins) and mechanical cycle descriptions.
2.5 tr = 900 °