---
title: "Degrees to Radians — ° to rad converter"
description: "1 degree = 0.017453 radians. Convert degrees to radians with a full conversion table, the exact formula, and a calculator for any value."
url: https://atoneplace.net/convert/degrees-to-radians/
site: "At One Place"
---

# Degrees to radians

**1 degree in radians: 1 ° = 0.017453 rad**

rad = ° × 0.01745329252

To convert degrees to radians, multiply by 0.01745329252. The table below gives the values people look up most often, and the converter works for any number.

## Degrees to radians table

*Common degree values converted to radians.*

| Degrees | Radians |
| --- | --- |
| 1 ° | 0.017453 |
| 2 ° | 0.034907 |
| 3 ° | 0.05236 |
| 4 ° | 0.069813 |
| 5 ° | 0.087266 |
| 10 ° | 0.17453 |
| 15 ° | 0.2618 |
| 20 ° | 0.34907 |
| 25 ° | 0.43633 |
| 30 ° | 0.5236 |
| 40 ° | 0.69813 |
| 50 ° | 0.87266 |
| 75 ° | 1.308997 |
| 100 ° | 1.745329 |
| 250 ° | 4.363323 |
| 500 ° | 8.726646 |
| 1,000 ° | 17.45329 |

## How the conversion works

The relationship is rad = ° × 0.01745329252. Both units measure angle, so the conversion is a fixed factor that never changes.

## Common questions

### How many radians are in one degree?

One degree equals 0.017453 radians. rad = ° × 0.01745329252.

### How do you convert degrees to radians?

Use rad = ° × 0.01745329252. So 10 ° is 0.17453 rad.

### How many degrees are in one radian?

One radian equals 57.29578 degrees, which is the reverse of the conversion above.

## Related pages

- [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/)