# Angle Converter

> Convert between degrees, radians, gradians (gon), arcminutes, arcseconds, turns, and milliradians.

URL: https://uttir.com/angle-converter
Categories: converters, math-tools
Privacy: Conversions run locally in your browser. No values are sent anywhere.

## About

Angles are measured in degrees (°), radians (rad), or gradians (gon) depending on the field. Math and physics use radians. Navigation, surveying, and astronomy use degrees (often subdivided into arcminutes and arcseconds). Civil engineering in some countries uses gradians.

One full turn is 360° = 2π rad = 400 gon. This converter uses the radian as the base.

## How to use

1. **Enter a value** — Type the angle in any supported unit. The default is 1 degree.
2. **Pick the units** — The from/to dropdowns include degrees, radians, gradians, arcminutes, arcseconds, and turns.
3. **Watch the result** — The result updates live as you type. The quick-reference table shows 1, 10, 100, 1000, 10000 in the source unit.

## Examples

### 180° in radians

A straight angle is π radians.

Input:

```
180°
```

Output:

```
≈ 3.14159 rad
```

## FAQ

### When do I use radians vs degrees?

Use radians for any math or physics formula (sine, cosine, derivatives, integrals). Use degrees for navigation, surveying, and any context where the unit is implicit.

### What is a gradian (gon)?

A gradian (or gon) is 1/400 of a full turn. Useful in civil engineering (especially in France and Germany) and in surveying. 100 gon = 90°.

### What is a milliradian?

1 milliradian (mrad) = 0.001 rad. Used in ballistics and targeting: 1 mrad spreads the trajectory by 1 meter per kilometer of range.

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For the full HTML page with the live tool, visit https://uttir.com/angle-converter.
This file is the markdown rendering at https://uttir.com/angle-converter.md. See https://uttir.com/llms.txt for a site-wide summary.