Turns to Degrees 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
degrees = turns × 360Servo motors, stepper motor controllers, and CNC rotary axes track position in fractional turns or revolutions (e.g., 2.75 turns). When inspecting a machined part's angular position, verifying a robotic joint's range, or entering a waypoint into a navigation system, the angle must be expressed in degrees. A CNC lathe spindle at 3.25 turns has rotated 3.25 × 360 = 1,170° — an important value when computing the total angular displacement for threading operations.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
Quarter turn — 90°, a right angle. The position of a robotic arm joint after indexing to its first quadrant stop.
0.25 tr = 90 °
Half turn — 180°, a complete reversal. The position a servo reaches when flipping a component to its opposite face in an automated assembly.
0.5 tr = 180 °
One full turn — 360°. The encoder count reset point for an absolute rotary encoder completing one full revolution.
1 tr = 360 °
2.5 turns — 900°. The total angular displacement of a lathe spindle thread-cutting cycle that makes two-and-a-half passes.
2.5 tr = 900 °