HomeUnit Conversion › Turns (revolutions) to Degrees

Turns (revolutions) to Degrees (turn to °)

Convert turns (revolutions) to degrees: 1 turn = 360 °. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.

Formula

1 turn = 360 °

degrees = turns (revolutions) × 360 — reverse: turns (revolutions) = degrees × 0.002777777778

The factor is derived from the SI definitions of both units (base unit: rad) as listed in NIST SP 811; results on this page are shown to 6 significant figures, the API returns up to 12.

Worked examples

Turns (revolutions) to degrees conversion table

Turns (revolutions) (turn)Degrees (°)
1360
2720
31080
41440
51800
62160
72520
82880
93240
103600
155400
207200
259000
3010800
4014400
5018000
7527000
10036000
20072000
25090000
500180000
1000360000

FAQ

How many degrees are in one turn?

1 turn = 360 °. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures.

What is the formula to convert turns (revolutions) to degrees?

Multiply the value in turns (revolutions) by 360: degrees = turns (revolutions) × 360. For example, 5 turn = 1800 °.

How do I convert degrees back to turns (revolutions)?

Multiply by the inverse factor 0.002777777778 (turns (revolutions) = degrees × 0.002777777778), or use the degrees-to-turns (revolutions) page.

Related conversions

Machine access

Sources