Radians to turns converter
Turns (tr)
1 radian = 0.1591549431 turns
How to convert radians to turns
tr = rad × 0.159154943092
Multiply the number of radians by 0.159154943092 to get turns. Going the other way, divide by 0.159154943092 (or multiply by 6.28318530718).
One radian is exactly defined as 0.159154943092 turns (to 12 significant figures), and one turn is 6.28318530718 radians.
Worked examples
- Convert 5 radians: 5 × 0.159154943092 = 0.7957747155 0.7957747155 turns.
- Convert 12.5 radians: 12.5 × 0.159154943092 = 1.989436789 1.989436789 turns.
- Convert 250 radians: 250 × 0.159154943092 = 39.78873577 39.78873577 turns.
Quick-reference table
| rad | tr |
|---|---|
| 1 | 0.1591549431 |
| 2 | 0.3183098862 |
| 3 | 0.4774648293 |
| 5 | 0.7957747155 |
| 10 | 1.591549431 |
| 15 | 2.387324146 |
| 20 | 3.183098862 |
| 25 | 3.978873577 |
| 50 | 7.957747155 |
| 75 | 11.93662073 |
| 100 | 15.91549431 |
| 1,000 | 159.1549431 |
| tr | rad |
|---|---|
| 1 | 6.283185307 |
| 2 | 12.56637061 |
| 3 | 18.84955592 |
| 5 | 31.41592654 |
| 10 | 62.83185307 |
| 15 | 94.24777961 |
| 20 | 125.6637061 |
| 25 | 157.0796327 |
| 50 | 314.1592654 |
| 75 | 471.238898 |
| 100 | 628.3185307 |
| 1,000 | 6,283.185307 |
Related conversions
Frequently asked questions
How many turns are in 1 radian?
1 radian equals 0.1591549431 turns.
What is the formula to convert radians to turns?
Use tr = rad × 0.159154943092. Multiply the number of radians by 0.159154943092 to get turns. Going the other way, divide by 0.159154943092 (or multiply by 6.28318530718).
What is 100 radians in turns?
100 radians is 15.91549431 turns.