Convert Turns to Degrees
1 turn is 360 °. One turn is exactly 360 degrees.
One turn is 360 degrees. To convert turns to degrees, multiply by 360; to go the other way, divide by 360 or multiply by 0.0027777778. The factor is exact rather than rounded: it follows from NIST Special Publication 811. One full revolution — 360 degrees, 400 gradians, 2π radians.
Factor checked against the defining standard · How we check
- Turns × 360
1 * 360360 °
1 turn in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 6.283185307 rad | × 6.28318530718 |
| degrees | 360 ° | × 360 |
| gradians | 400 gon | × 400 |
| arcminutes | 21,600 ′ | × 21,600 |
| arcseconds | 1,296,000 ″ | × 1,296,000 |
| turns (as entered) | 1 turn | — |
| milliradians | 6,283.185307 mrad | × 6,283.18530718 |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert turns to degrees? The converter and the working
- 1.Take the measurement in turns.
- 2.Multiply by 360 — that is how many degrees fit in one turn.
- 3.To go back the other way, divide by 360, or multiply by 0.0027777778.
Worked example: 25 turns to degrees
- Formula
- turn × 360 = °
- Arithmetic
- 25 × 360 = 9,000 °
- Answer
- 25 turn = 9,000 °
The factor is exact, so this figure is exact too — only the display is rounded.
Turns to degrees conversion table
| Turns | Degrees |
|---|---|
| 1 turn | 360 ° |
| 2 turn | 720 ° |
| 3 turn | 1,080 ° |
| 4 turn | 1,440 ° |
| 5 turn | 1,800 ° |
| 6 turn | 2,160 ° |
| 7 turn | 2,520 ° |
| 8 turn | 2,880 ° |
| 9 turn | 3,240 ° |
| 10 turn | 3,600 ° |
| 12 turn | 4,320 ° |
| 15 turn | 5,400 ° |
| 20 turn | 7,200 ° |
| 25 turn | 9,000 ° |
| 50 turn | 18,000 ° |
| 100 turn | 36,000 ° |
| 200 turn | 72,000 ° |
| 300 turn | 108,000 ° |
| 500 turn | 180,000 ° |
| 1000 turn | 360,000 ° |
| 2000 turn | 720,000 ° |
| 5000 turn | 1,800,000 ° |
| 10000 turn | 3,600,000 ° |
What is a turn?
One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
What is a degree?
A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
How many degrees are in a turn?
One turn is 360 degrees, exactly. Going the other way, one degree is 0.0027777778 turns. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to a turn.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Turns to degrees. Rule Calculator. https://rulecalculators.com/convert/turn-to-degree
- MLA
- "Convert Turns to degrees." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/turn-to-degree.
- Chicago
- Rule Calculator. "Convert Turns to degrees." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/turn-to-degree.
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Questions people actually ask
- How many degrees are in a turn?
- 360. A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
- How do I convert degrees back to turns?
- Divide by 360, or multiply by 0.0027777778 — they are the same operation.
Other angle conversions
Degrees to turns — the same conversion the other way.