AngleDegrees to Gradians

Degrees to Gradians

Methodology·How We Verify

Snapshot

1 Degree equals 1.111111 Gradians.

Reference basis: This conversion uses a fixed factor based on exact radian-based angle definitions.
Example: For 0.1 Degrees, the result equals 0.111111 Gradians.

Interactive conversion

Converter Calculator

Decimals: 1.5 or 1,5. Fractions: 1/2. Scientific notation: 1e3. Write 1000 without grouping separators.

1.111111 Gradians (grad)

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API and AI agent access

Degrees to Gradians.

Machine-readable identifiers

Conversion family: angle
Source unit: degrees
Target unit: gradians

Use these identifiers in the API request. Sources and model limits also apply to software clients.

Example API request and response

POST /api/v1/convert

Request

{
  "family": "angle",
  "value": 1,
  "from": "degrees",
  "to": "gradians"
}

Essential response

{
  "ok": true,
  "conversion": {
    "family": "angle",
    "value": 1,
    "from": "degrees",
    "to": "gradians",
    "result": {
      "raw": 1.111111111111111,
      "display": "1.111111"
    },
    "canonicalPath": "/angle/degrees-to-gradians/"
  }
}

API, OpenAPI and WebMCP documentation

Explanation

The converter converts degrees into gradians through exact radian normalization. The factor for this route is 1.11111111111, and the direct answer, calculator, common values, and mirror Gradians to Degrees page all stay aligned on the same plane-angle definitions.

Method & Reference

Method basis: exact conversion formula shown in Snapshot.
Applied factor: 1 Degree = 1.111111 Gradians.
Consistency rule: calculator output and table values use the same constants and rounding policy.

Common Conversion Values

Degrees (deg)	Gradians (grad)
0.1	0.111111
1	1.111111
5	5.555556
10	11.111111
45	50
90	100
180	200
360	400

Questions & answers

Frequently Asked Questions

How is Degrees to Gradians calculated?

The factor is derived through exact radian normalization, using pi-based relationships between degrees, gradians, turns, and radians.