AngleRadians to Degrees

Radians to Degrees

Methodology·How We Verify

Snapshot

1 Radian equals 57.29578 Degrees.

Reference basis: This conversion uses a fixed factor based on exact radian-based angle definitions.
Example: For 0.1 Radians, the result equals 5.729578 Degrees.

Interactive conversion

Converter Calculator

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

57.29578 Degrees (deg)

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API and AI agent access

Radians to Degrees.

Machine-readable identifiers

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

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": "radians",
  "to": "degrees"
}

Essential response

{
  "ok": true,
  "conversion": {
    "family": "angle",
    "value": 1,
    "from": "radians",
    "to": "degrees",
    "result": {
      "raw": 57.29577951308232,
      "display": "57.29578"
    },
    "canonicalPath": "/angle/radians-to-degrees/"
  }
}

API, OpenAPI and WebMCP documentation

Explanation

The converter converts radians into degrees through exact radian normalization. The factor for this route is 57.2957795131, and the direct answer, calculator, common values, and mirror Degrees to Radians page all stay aligned on the same plane-angle definitions.

Method & Reference

Method basis: exact conversion formula shown in Snapshot.
Applied factor: 1 Radian = 57.29578 Degrees.
Consistency rule: calculator output and table values use the same constants and rounding policy.

Common Conversion Values

Radians (rad)	Degrees (deg)
0.1	5.729578
1	57.29578
5	286.478898
10	572.957795
45	2,578.310078
90	5,156.620156
180	10,313.240312
360	20,626.480625

Questions & answers

Frequently Asked Questions

How is Radians to Degrees calculated?

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

Why are radians the reference unit in this cluster?

Radians are the canonical mathematical angle basis, so every route in this cluster can be normalized through one exact radian relationship.