---
title: "Turns to Radians — turn to rad converter"
description: "1 turn = 6.283185 radians. Convert turns to radians with a full conversion table, the exact formula, and a calculator for any value."
url: https://atoneplace.net/convert/turns-to-radians/
site: "At One Place"
---

# Turns to radians

**1 turn in radians: 1 turn = 6.283185 rad**

rad = turn × 6.283185307

To convert turns to radians, multiply by 6.283185307. The table below gives the values people look up most often, and the converter works for any number.

## Turns to radians table

*Common turn values converted to radians.*

| Turns | Radians |
| --- | --- |
| 1 turn | 6.283185 |
| 2 turn | 12.56637 |
| 3 turn | 18.84956 |
| 4 turn | 25.13274 |
| 5 turn | 31.41593 |
| 10 turn | 62.83185 |
| 15 turn | 94.24778 |
| 20 turn | 125.6637 |
| 25 turn | 157.0796 |
| 30 turn | 188.4956 |
| 40 turn | 251.3274 |
| 50 turn | 314.1593 |
| 75 turn | 471.2389 |
| 100 turn | 628.3185 |
| 250 turn | 1,570.7963 |
| 500 turn | 3,141.5927 |
| 1,000 turn | 6,283.1853 |

## How the conversion works

The relationship is rad = turn × 6.283185307. Both units measure angle, so the conversion is a fixed factor that never changes.

## Common questions

### How many radians are in one turn?

One turn equals 6.283185 radians. rad = turn × 6.283185307.

### How do you convert turns to radians?

Use rad = turn × 6.283185307. So 10 turn is 62.83185 rad.

### How many turns are in one radian?

One radian equals 0.15915 turns, which is the reverse of the conversion above.

## Related pages

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