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Supported formats

Input: number, select
Output: number, text

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1 turn equals 360 degree (°).

How it works

Expressed the source unit in radian using its exact factor.
Divided by the target unit expressed in radian.
Rounded the result to 12 significant digits.

1 turn = 360 deg

Both units measure angle, so the conversion is a single exact multiplication.

Methodology

Express every unit as an exact factor to the radian base.
Multiply the input by the source factor and divide by the target factor.
Round the result to 12 significant digits so a convert-then-convert-back operation stays within floating-point tolerance.

Usage

Enter the value to convert.
Choose the source and target units.
Read the converted value and the conversion formula.

Examples

These are examples, not current values: they use fixed inputs, while the interactive tool computes live results in your browser.

Turn to degrees

{
  "value": 1,
  "from": "turn",
  "to": "deg"
}

Degrees to radians

{
  "value": 180,
  "from": "deg",
  "to": "rad"
}

Gradians to degrees

{
  "value": 100,
  "from": "grad",
  "to": "deg"
}

Limitations

Exact angle factors

Every angle unit is defined as an exact multiple of the radian, so the conversion is a single multiplication with no approximation beyond floating-point representation.

Frequently asked questions

Which angle units does this converter support?: It supports every unit listed in the From and To menus, each expressed as an exact factor to the radian.
Why does the result show a formula?: The formula shows the exact multiplication so you can verify the angle conversion by hand.

Sources

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