---
title: "Radians to Turns — rad to turn converter"
description: "1 radian = 0.15915 turns. Convert radians to turns with a full conversion table, the exact formula, and a calculator for any value."
url: https://atoneplace.net/convert/radians-to-turns/
site: "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

- [Turns to Radians](https://atoneplace.net/convert/turns-to-radians/)
- [Radians to Degrees](https://atoneplace.net/convert/radians-to-degrees/)

## Sources

- Guide for the Use of the International System of Units (SP 811) — NIST (https://www.nist.gov/pml/special-publication-811) [Public domain (US Government)]
- The International System of Units (SI Brochure) — Bureau International des Poids et Mesures (https://www.bipm.org/en/publications/si-brochure)
- Calculated on this page — At One Place (/about/)