Camera Focal EquivalenceFocal Length Mm to Horizontal Angle of View Degrees At Full Frame Open Gate 36mm

Focal length (mm) to Horizontal angle of view (degrees) for Cinema full-frame 36mm

Snapshot

On Cinema full-frame 36mm, a 50 mm lens gives about 39.597753 horizontal angle of view. Conversion Encyclopedia keeps the same sensor profile across the calculator, common values, and reverse page for this page.

Sensor profile: Cinema full-frame 36mm (36 mm width, crop factor 1).
Example: For 14 Focal length (mm), this gives 104.250033 Horizontal angle of view (degrees) on Cinema full-frame 36mm.

Interactive conversion

Converter Calculator

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

173.64034 Horizontal angle of view (degrees)

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API and AI agent access

Focal length (mm) to Horizontal angle of view (degrees) for Cinema full-frame 36mm. sensor profile: full-frame-open-gate-36mm.

Machine-readable identifiers

Conversion family: camera-focal-equivalence
Source unit: focal_length_mm
Target unit: horizontal_angle_of_view_degree
Sensor profile: full-frame-open-gate-36mm

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": "camera-focal-equivalence",
  "value": 1,
  "from": "focal_length_mm",
  "to": "horizontal_angle_of_view_degree",
  "parameters": {
    "sensorProfile": "full-frame-open-gate-36mm"
  }
}

Essential response

{
  "ok": true,
  "conversion": {
    "family": "camera-focal-equivalence",
    "value": 1,
    "from": "focal_length_mm",
    "to": "horizontal_angle_of_view_degree",
    "result": {
      "raw": 173.64033976027153,
      "display": "173.64034"
    },
    "canonicalPath": "/camera-focal-equivalence/focal-length-mm-to-horizontal-angle-of-view-degrees-at-full-frame-open-gate-36mm/"
  }
}

API, OpenAPI and WebMCP documentation

Explanation

Cinema full-frame 36mm uses crop factor 1 and sensor width 36 mm. HFOV = 2 x atan(36 / (2 x focal_mm)) in degrees. For input 1 mm, output is 173.64033976 deg.

Method & Sensor Profile

Sensor basis: Cinema full-frame 36mm profile with crop factor 1 and sensor width 36 mm.
Profile reference: focal-length and aperture equivalence use the same crop model, while angle-of-view routes use the same fixed sensor width geometry.
Consistency rule: forward and reverse pages keep the same sensor profile; only the formula direction changes.

Common Conversion Values

Focal length (mm)	Horizontal angle of view (degrees)
14	104.250033
24	73.739795
28	65.470453
35	54.432223
50	39.597753
70	28.841546
85	23.913168
135	15.189287
200	10.285529

Questions & answers

Frequently Asked Questions

Which sensor assumptions are fixed for focal length mm to horizontal angle of view (degrees)?

Focal length mm to horizontal angle of view (degrees) is fixed to Cinema full-frame 36mm, crop factor 1, sensor width 36 mm.

How do I reverse mm to deg for Cinema full-frame 36mm?

Use the opposite-direction page for Cinema full-frame 36mm to convert horizontal angle of view (degrees) back to focal length (mm) with the same sensor assumptions.

Can focal length mm to horizontal angle of view (degrees) replace full lens-design simulation?

No. Focal length mm to horizontal angle of view (degrees) provides framing and geometry approximations, not full optical-model behavior.