---
title: "Gradians to Radians — grad to rad converter"
description: "1 gradian = 0.015708 radians. Convert gradians to radians with a full conversion table, the exact formula, and a calculator for any value."
url: https://atoneplace.net/convert/gradians-to-radians/
site: "At One Place"
---

# Gradians to radians

**1 gradian in radians: 1 grad = 0.015708 rad**

rad = grad × 0.01570796327

To convert gradians to radians, multiply by 0.01570796327. The table below gives the values people look up most often, and the converter works for any number.

## Gradians to radians table

*Common gradian values converted to radians.*

| Gradians | Radians |
| --- | --- |
| 1 grad | 0.015708 |
| 2 grad | 0.031416 |
| 3 grad | 0.047124 |
| 4 grad | 0.062832 |
| 5 grad | 0.07854 |
| 10 grad | 0.15708 |
| 15 grad | 0.23562 |
| 20 grad | 0.31416 |
| 25 grad | 0.3927 |
| 30 grad | 0.47124 |
| 40 grad | 0.62832 |
| 50 grad | 0.7854 |
| 75 grad | 1.178097 |
| 100 grad | 1.570796 |
| 250 grad | 3.926991 |
| 500 grad | 7.853982 |
| 1,000 grad | 15.70796 |

## How the conversion works

The relationship is rad = grad × 0.01570796327. Both units measure angle, so the conversion is a fixed factor that never changes.

## Common questions

### How many radians are in one gradian?

One gradian equals 0.015708 radians. rad = grad × 0.01570796327.

### How do you convert gradians to radians?

Use rad = grad × 0.01570796327. So 10 grad is 0.15708 rad.

### How many gradians are in one radian?

One radian equals 63.66198 gradians, which is the reverse of the conversion above.

## Related pages

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