# Radians to Degrees Converter

URL: https://speedycalculator.com/calculators/conversion/radians-to-degrees/
Last updated: 2026-10-25

> Convert radians (rad) to degrees (°): 1 radian = 57.29578 °, so multiply by 57.29578 or divide by 0.017453293. Both fields are editable, so you can also type in degrees and get radians back.

## Inputs

- Radians (rad)

## Results

- Degrees

## Formula

```
1 rad = 57.29578 °
1 ° = 0.017453293 rad
° = rad × 57.29578
```

## Explanation

Multiply radians by 180/π (about 57.2958) to get degrees. One radian is the angle where the arc length equals the radius.

### How to use the Radians to Degrees Converter

- Type the number of radians into the **Radians** field. Decimals such as 0.5 are fine.
- Read the answer in **Degrees** – it updates as you type, with no button to press.
- To convert the other way, type into **Degrees** and the radians are recalculated.
- Press **Copy results** to copy both values with the page title, or **Copy link** to share this exact conversion.

This page converts only rad ⇄ °. Need a different unit? Use the general angle converter, where you can choose any “from” and “to” unit.

### How it works

Both units measure angle, so they are always in the same ratio: one radian equals 57.29578 degrees. The calculator multiplies the number of radians you type by 57.29578 to give degrees, and when you type into the degrees field it divides by the same factor to give radians. Because the ratio never changes, doubling the radians always doubles the degrees. Results are calculated at full precision and rounded only for display (up to eight decimal places, with very large or small values shown in scientific notation).

### How to convert radians to degrees

- Write down the value in radians, for example **1 rad**.
- Multiply by the conversion factor 57.29578 (because 1 radian = 57.29578 °).
- 1 × 57.29578 = **57.29578 °**.
- To go back from degrees to radians, divide by 57.29578 – or multiply by 0.017453293.

### rad to ° conversion table

RadiansDegreesDegreesRadians0.1 rad5.729578 °1 °0.017453293 rad0.5 rad28.64789 °2 °0.034906585 rad0.7854 rad45.000105 °5 °0.087266463 rad1 rad57.29578 °10 °0.17453293 rad1.5708 rad90.00021 °20 °0.34906585 rad2 rad114.59156 °50 °0.87266463 rad3.1416 rad180.00042 °100 °1.7453293 rad4.7124 rad270.00063 °1,000 °17.453293 rad6.2832 rad360.00084 °

### What is a radian?

The radian is the SI unit of angle: the angle at which an arc equals the radius. A full circle is 2π radians, about 6.283.

### What is a degree?

A degree is 1/360 of a full turn. Navigation, construction and geometry use degrees.

### Quick mental conversion

For a fast estimate, multiply radians by about **57** to get degrees; the error is about 0.5%. Use the calculator above when you need the exact figure.

### Common mistakes to avoid

Feeding degrees into a calculator set to radians (or the reverse), and reading decimal degrees as degrees and minutes.

## Worked example

Inputs — Radians: 1 rad.

Results — **Degrees = 57.29577951 °**.

## FAQ

**How many degrees is 1 radian?**
About 57.2958°.

**How many degrees is π/4?**
45°.

**How do I convert radians to degrees?**
Multiply the number of radians by 57.29578. For example, 1 rad × 57.29578 = 57.29578 °.

**How do I convert degrees back to radians?**
Divide by 57.29578 (or multiply by 0.017453293), or simply type the value into the degrees field above.

**What is 2 rad in degrees?**
2 rad = 114.59156 °.

**Is this conversion exact?**
Yes. The factor comes from the official definitions of both units (NIST and the SI), so the only difference you may see is rounding in the last displayed digit.

**Can I convert to other units on this page?**
This page converts only between radians and degrees. To pick any angle unit, use the general angle converter linked under Related calculators.

**What formula does the Radians to Degrees Converter use?**
1 rad = 57.29578 °.


## Sources

- [NIST Special Publication 811 – Guide for the Use of the International System of Units](https://www.nist.gov/pml/special-publication-811)
- [NIST Handbook 44 Appendix C – General tables of units of measurement](https://www.nist.gov/pml/owm/nist-handbook-44-current-edition)