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.
Australia is fully metric under the National Measurement Act 1960; imperial units appear only in trade with the US and in older documents.
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 Measurement Institute (NMI) — Australia's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.