Degrees to Turns Converter
Convert degrees to full turns — 360 degrees to the turn. Results update as you type; exact factors shown.
One degree is 0.0028 turn (revolution) — see the exact factor, not a rounded rule of thumb.
How the degrees to turns converter works
Angles convert through the radian. A full turn is 2π radians = 360° = 400 gon = 6,400 NATO mils. A degree is 60 arcminutes, an arcminute 60 arcseconds.
The UK is metric for most trade and science but keeps miles, pints, stone and mpg (with the imperial gallon) in daily life.
Common angle conversions
| From | To | Units |
|---|---|---|
| 45 ° | 0.125 rev | degrees to turn (revolution) |
| 90 ° | 0.25 rev | degrees to turn (revolution) |
| 180 ° | 0.5 rev | degrees to turn (revolution) |
| 270 ° | 0.75 rev | degrees to turn (revolution) |
| 360 ° | 1 rev | degrees to turn (revolution) |
| 540 ° | 1.5 rev | degrees to turn (revolution) |
| 720 ° | 2 rev | degrees to turn (revolution) |
| 900 ° | 2.5 rev | degrees to turn (revolution) |
| 1,080 ° | 3 rev | degrees to turn (revolution) |
| 1,440 ° | 4 rev | degrees to turn (revolution) |
| 1,800 ° | 5 rev | degrees to turn (revolution) |
| 3,600 ° | 10 rev | degrees to turn (revolution) |
Units in this converter and their exact factors
| Unit | Symbol | One unit in radians |
|---|---|---|
| degree | ° | 0.0174532925 radian |
| radian | rad | 1 radian |
| gradian (gon) | gon | 0.0157079633 radian |
| arcminute | ′ | 0.0002908882 radian |
| arcsecond | ″ | 0.0000048481 radian |
| turn (revolution) | rev | 6.2831853072 radian |
| NATO mil (1/6400 turn) | mil | 0.0009817477 radian |
FAQFrequently asked questions about angle conversion
How many degrees in a turn?
360.
What is 720 degrees?
Two full turns.
Why 360?
Babylonian, and convenient: 360 divides by 2, 3, 4, 5, 6, 8, 9, 10, 12 and more.
Where are turns used?
Rotational mechanics and anywhere revolutions are the natural unit.
What is a quarter turn?
90 degrees.
Where these figures come from
- BIPM — The International System of Units (SI Brochure, 9th edition) — definitions of the base and derived units.
- NIST Special Publication 811 — Guide for the Use of the International System of Units — the exact conversion factors used here.
- National Physical Laboratory (NPL) — United Kingdom's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.