Convert turns to radians
1 tr = 6.28318530718 rad (rounded to 12 significant digits; use the slider below for more).
6.283 185 307 18rad
As a fraction: 1570796326794896619231321691639751442098584699687552910487472296153908203143/250000000000000000000000000000000000000000000000000000000000000000000000000
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1 tr = 6.28318530718 rad
Show this value in all 16 angle units
- Radians rad 6.283 185 307 18
- Milliradians mrad 6283.185 307 18
- Microradians µrad 6 283 185.307 18
- Degrees ° 360
- Arcminutes ′ 21 600
- Arcseconds ″ 1 296 000
- Milliarcseconds mas 1 296 000 000
- Gradians gon 400
- Turns tr 1
- Quadrants quad 4
- Sextants sextant 6
- Octants octant 8
- Mil (NATO)s mil 6400
- Mil (Warsaw Pact)s mil 6000
- Compass points pt 32
- Hour angles h 24
Every row is Turn (tr) converted through the radian, in exact rational arithmetic.
How to convert turns to radians
Multiply the number of turns by 6.28318530718 to get radians.
Turn to Radian conversion table
| Turns (tr) | Radians (rad) |
|---|---|
| 1 tr | 6.283 185 3 |
| 2 tr | 12.566 371 |
| 3 tr | 18.849 556 |
| 5 tr | 31.415 927 |
| 10 tr | 62.831 853 |
| 20 tr | 125.663 71 |
| 25 tr | 157.079 63 |
| 50 tr | 314.159 27 |
| 100 tr | 628.318 53 |
| 250 tr | 1570.7963 |
| 500 tr | 3141.5927 |
| 1000 tr | 6283.1853 |
Radian to Turn conversion table
| Radians (rad) | Turns (tr) |
|---|---|
| 1 rad | 0.159 154 94 |
| 2 rad | 0.318 309 89 |
| 3 rad | 0.477 464 83 |
| 5 rad | 0.795 774 72 |
| 10 rad | 1.591 549 4 |
| 20 rad | 3.183 098 9 |
| 25 rad | 3.978 873 6 |
| 50 rad | 7.957 747 2 |
| 100 rad | 15.915 494 |
| 250 rad | 39.788 736 |
| 500 rad | 79.577 472 |
| 1000 rad | 159.154 94 |
Frequently asked
How many radians are in a turn?
One turn equals 6.283185307 radians (tr → rad).
How do you convert turns to radians?
Multiply the number of turns by 6.28318530718 to get radians.
What is 1 rad in turns?
One radian is 0.1591549431 turns.
What is 10 tr in rad?
10 tr = 62.831 853 rad.