At One Place

Radians to turns

1 radian in turns
1 rad = 0.15915 turn
turn = rad × 0.1591549431

To convert radians to turns, multiply by 0.1591549431. The table below gives the values people look up most often, and the converter works for any number.

Radians to turns table

Common radian values converted to turns.
Radians Turns
1 rad 0.15915
2 rad 0.31831
3 rad 0.47746
4 rad 0.63662
5 rad 0.79577
10 rad 1.591549
15 rad 2.387324
20 rad 3.183099
25 rad 3.978874
30 rad 4.774648
40 rad 6.366198
50 rad 7.957747
75 rad 11.93662
100 rad 15.91549
250 rad 39.78874
500 rad 79.57747
1,000 rad 159.1549

How the conversion works

The relationship is turn = rad × 0.1591549431. Both units measure angle, so the conversion is a fixed factor that never changes.

Common questions

How many turns are in one radian?
One radian equals 0.15915 turns. turn = rad × 0.1591549431.
How do you convert radians to turns?
Use turn = rad × 0.1591549431. So 10 rad is 1.591549 turn.
How many radians are in one turn?
One turn equals 6.283185 radians, which is the reverse of the conversion above.

Related pages

Sources

  1. Guide for the Use of the International System of Units (SP 811) — NIST (Public domain (US Government))
  2. The International System of Units (SI Brochure) — Bureau International des Poids et Mesures
  3. Calculated on this page — At One Place

How these figures are compiled and checked