Convert radian (rad) to turn (turn).
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Turn to Radian Converter (turn to rad)
Convert turn (turn) to radian (rad).Unit Converter · Angle
Quick answer
1 turn is approximately equal to 6.283185 radians (rad). 1 radian (rad) is approximately equal to 0.1591549 turns (turn).
To convert turn to rad, multiply the value in turns by 6.2831853072. For example, 10 turn = 62.83185307 rad, and 100 turn = 628.31853072 rad.
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Quick reference — turn to radian
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How to convert turns to radians
How many radians are in a turn? 1 turn is about 6.283185 radians. This free turn to rad converter and turn to radian calculator gives the answer instantly for any value.
To convert turn (turn) to radian (rad), multiply the value in turns by 6.2831853072.
rad = turn × 6.2831853072
- 1
Take the value in turns
For example, 25 turn.
- 2
Multiply by 6.2831853072
25 × 6.2831853072.
- 3
Read the answer in radians
25 turn = 157.07963268 rad.
Turn to Radian conversion table
Common values from 1 to 1,000 turns converted to radians.
| Turn (turn) | Radian (rad) |
|---|---|
| 1 turn | 6.28318531 rad |
| 2 turn | 12.56637061 rad |
| 3 turn | 18.84955592 rad |
| 4 turn | 25.13274123 rad |
| 5 turn | 31.41592654 rad |
| 6 turn | 37.69911184 rad |
| 7 turn | 43.98229715 rad |
| 8 turn | 50.26548246 rad |
| 9 turn | 56.54866776 rad |
| 10 turn | 62.83185307 rad |
| 15 turn | 94.24777961 rad |
| 20 turn | 125.66370614 rad |
| 25 turn | 157.07963268 rad |
| Turn (turn) | Radian (rad) |
|---|---|
| 30 turn | 188.49555922 rad |
| 40 turn | 251.32741229 rad |
| 50 turn | 314.15926536 rad |
| 60 turn | 376.99111843 rad |
| 70 turn | 439.8229715 rad |
| 75 turn | 471.23889804 rad |
| 80 turn | 502.65482457 rad |
| 90 turn | 565.48667765 rad |
| 100 turn | 628.31853072 rad |
| 250 turn | 1,570.79632679 rad |
| 500 turn | 3,141.59265359 rad |
| 1,000 turn | 6,283.18530718 rad |
About turns and radians
Turn (turn)
A turn is one full rotation, equal to 360 degrees or 2π radians.
Radian (rad)
A radian (rad) is the angle at the center of a circle that cuts off an arc as long as the radius. A full turn is 2π radians, so 180° = π rad.
turn to rad: common questions
- How many radians are in 1 turn?
- 1 turn is approximately equal to 6.283185 radians (rad). In short: 1 turn ≈ 6.283185 rad.
- How do I convert turns to radians?
- To convert turn to rad, multiply the value in turns by 6.2831853072. For example, 5 turn = 31.41592654 rad.
- How do I convert radians to turns?
- To convert rad to turn, divide the value in radians by 6.2831853072. Or open the Radian to Turn converter, which does it for you.
- What is 10 turn in rad, and what is 100 turn?
- 10 turn = 62.83185307 rad, and 100 turn = 628.31853072 rad. The table above lists more values from 1 to 1,000.
- Is this turn to rad converter accurate?
- Yes. It uses the exact conversion factor and shows results to as many as 8 decimal places, so you can rely on it for study, work and everyday measuring.
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