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Turns to Degrees Converter
Convert full turns to degrees — multiply by 360. Results update as you type; exact factors shown.
One turn (revolution) is 360 degrees — see the exact factor, not a rounded rule of thumb.
Convert angle
Direction
Results update as you type
Results
1 rev in degrees
360 °
Conversion factor—
Reverse conversion—
In radian (base unit)—
Reviewed September 2026. Exact conversion factors from the BIPM SI Brochure and NIST SP 811; Australia is fully metric under the National Measurement Act 1960; imperial units appear only in trade with the US and in older documents.
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About angle conversion
Method
How the turns to degrees 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.
Data
Common angle conversions
| From | To | Units |
|---|---|---|
| 0.125 rev | 45 ° | turn (revolution) to degrees |
| 0.25 rev | 90 ° | turn (revolution) to degrees |
| 0.5 rev | 180 ° | turn (revolution) to degrees |
| 0.75 rev | 270 ° | turn (revolution) to degrees |
| 1 rev | 360 ° | turn (revolution) to degrees |
| 1.5 rev | 540 ° | turn (revolution) to degrees |
| 2 rev | 720 ° | turn (revolution) to degrees |
| 2.5 rev | 900 ° | turn (revolution) to degrees |
| 3 rev | 1,080 ° | turn (revolution) to degrees |
| 5 rev | 1,800 ° | turn (revolution) to degrees |
| 10 rev | 3,600 ° | turn (revolution) to degrees |
| 100 rev | 36,000 ° | turn (revolution) to degrees |
Data
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 half a turn?
180 degrees.
What is 2.5 turns?
900 degrees.
What is a turn in radians?
2π, about 6.283.
Why is the turn a useful unit?
Because rotation is naturally counted in revolutions, and 1 turn is less error-prone than 360 degrees.
Sources
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.