Degrees to Turns Converter
Enter a value to instantly convert between angle units.
1 Degree = 0.0028 Turn
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
turns = degrees ÷ 360Motor specifications give winding counts in turns; animation rigs express full spins as 1 turn, 2 turns; robotics joint controllers specify position limits in turns. When a stepper motor datasheet says 'maximum 3.5 turns from center' and your control algorithm works in degrees, converting 3.5 × 360° = 1,260° makes the limit directly comparable. CSS and game engines that animate rotations in degrees are constantly computing fractional turns behind the scenes.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
One full motor revolution — 1 turn. A servo that must rotate exactly once to move a rack gear one pitch distance.
360 ° = 1 tr
A double-spin stunt in a skateboard video game — 720° = 2 turns, the animation keyframe value entered in an animation editor.
720 ° = 2 tr
A triple axel-equivalent rotation — 1,080° = 3 turns, the angular displacement a figure skating simulation tracks for a jump score.
1080 ° = 3 tr
A quarter-turn robotic wrist rotation — 0.25 turns, the position target sent to a servo driver that expects turns rather than degrees.
90 ° = 0.25 tr