Turn (2π rad) to Radian (rad) converter
Turn (2π rad) to Radian (rad) converter
Converting from Turn (2π rad) to Radian (rad) | Angle
What is Turn (2π rad)
A turn, often represented as 2π radians, is a complete revolution around a circle. It corresponds to an angle of 360 degrees, making it a fundamental unit of measurement in geometry and trigonometry.
What is Radian (rad)
The radian is another unit used to measure angles. One radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians offer a more natural and convenient way to measure angles in mathematical calculations.
Conversion Formulas
To convert from turns to radians, simply multiply the value in turns by 2π:
Radians=Turns×2π
To convert from radians to turns, divide the value in radians by 2π:
Turns=2πRadians
Examples
- Converting 16 turns to radians:
16 turns=16×2π=100.531 radians
- Converting 4 radians to turns:
4 radians=2π4=0.6366198 turns
- Another example, converting 10 turns to radians:
10 turns=10×2π=62.83185 radians
- Converting 1 radian to turns:
1 radian=2π1=0.1591549 turns
By using the conversion formulas, you can easily switch between turns and radians to suit your angular measurement needs.
Turn to Radian conversion table
2π rad to rad conversion table
| Turn (2π rad) | Radian (rad) |
|---|---|
| 0.01 2π rad | 0.06283185 rad |
| 0.1 2π rad | 0.6283185 rad |
| 1 2π rad | 6.283185 rad |
| 2 2π rad | 12.56637 rad |
| 3 2π rad | 18.84956 rad |
| 4 2π rad | 25.13274 rad |
| 5 2π rad | 31.41593 rad |
| 6 2π rad | 37.69911 rad |
| 7 2π rad | 43.9823 rad |
| 8 2π rad | 50.26548 rad |
| 9 2π rad | 56.54867 rad |
| 10 2π rad | 62.83185 rad |
| 10 2π rad | 62.83185 rad |
| 20 2π rad | 125.6637 rad |
| 30 2π rad | 188.4956 rad |
| 40 2π rad | 251.3274 rad |
| 50 2π rad | 314.1593 rad |
| 60 2π rad | 376.9911 rad |
| 70 2π rad | 439.823 rad |
| 80 2π rad | 502.6548 rad |
| 90 2π rad | 565.4867 rad |
| 100 2π rad | 628.3185 rad |
| 1 000 2π rad | 6 283.185 rad |
| 2 000 2π rad | 12 566.37 rad |
| 3 000 2π rad | 18 849.56 rad |
| 4 000 2π rad | 25 132.74 rad |
| 5 000 2π rad | 31 415.93 rad |
| 6 000 2π rad | 37 699.11 rad |
| 7 000 2π rad | 43 982.3 rad |
| 8 000 2π rad | 50 265.48 rad |
| 9 000 2π rad | 56 548.67 rad |
| 10 000 2π rad | 62 831.85 rad |