turn to rad
14 unitsResult6.283185e+0
6.283185307rad
1 turn × 6.283185307 = 6.283185307 rad
Convert Turn to Radian (turn to rad)
1 turn = 6.283185307 radians. Convert turns to radians instantly, with the exact factor, the formula and a reference table of common values.
Formula
radians = turns × 6.283185307
turn to rad conversion table
| turn | rad |
|---|---|
| 1 turn | 6.283185307 rad |
| 2 turn | 12.56637061 rad |
| 3 turn | 18.84955592 rad |
| 5 turn | 31.41592654 rad |
| 10 turn | 62.83185307 rad |
| 20 turn | 125.6637061 rad |
| 50 turn | 314.1592654 rad |
| 100 turn | 628.3185307 rad |
| 250 turn | 1570.796327 rad |
| 500 turn | 3141.592654 rad |
| 1000 turn | 6283.185307 rad |
What is a turn?
A turn is one full rotation, 360 degrees. Some mathematicians prefer it because fractions of a turn are easy to picture: a quarter turn, a half turn, three quarters of a turn.
The turn is also the basis of the constant τ (tau), which equals 2π and represents one full turn in radians. In everyday language, a skater's double turn or a screw's three and a half turns use the unit in exactly this sense.
Related conversions
All angle units →Convert Turn to all angle units
| Conversion | 1 turn equals |
|---|---|
| Turn to circle | 1 circle |
| Turn to degree | 360 ° |
| Turn to gon | 400 gon |
| Turn to grad | 400 grad |
| Turn to mil | 6400 mil |
| Turn to minute | 21599.99996 arcmin |
| Turn to quadrant | 4 quadrant |
| Turn to radian | 6.283185307 rad |
| Turn to revolution | 1 r |
| Turn to right angle | 4 right angle |
| Turn to second | 1295999.896 arcsec |
| Turn to sextant | 6 sextant |
| Turn to sign | 12 sign |