Camera Focal EquivalenceFocal Length Mm to Horizontal Angle of View Degrees At Smartphone 1 1 3

Focal length (mm) to Horizontal angle of view (degrees) for Smartphone 1/1.3" class

Snapshot

On Smartphone 1/1.3" class, a 50 mm lens gives about 10.967181 horizontal angle of view. Conversion Encyclopedia keeps the same sensor profile across the calculator, common values, and reverse page for this page.

Sensor profile: Smartphone 1/1.3" class (9.6 mm width, crop factor 3.75).
Example: For 14 Focal length (mm), this gives 37.849289 Horizontal angle of view (degrees) on Smartphone 1/1.3" class.

Interactive conversion

Converter Calculator

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

156.463422 Horizontal angle of view (degrees)

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API and AI agent access

Focal length (mm) to Horizontal angle of view (degrees) for Smartphone 1/1.3" class. sensor profile: smartphone-1-1-3.

Machine-readable identifiers

Conversion family: camera-focal-equivalence
Source unit: focal_length_mm
Target unit: horizontal_angle_of_view_degree
Sensor profile: smartphone-1-1-3

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": "smartphone-1-1-3"
  }
}

Essential response

{
  "ok": true,
  "conversion": {
    "family": "camera-focal-equivalence",
    "value": 1,
    "from": "focal_length_mm",
    "to": "horizontal_angle_of_view_degree",
    "result": {
      "raw": 156.46342213595872,
      "display": "156.463422"
    },
    "canonicalPath": "/camera-focal-equivalence/focal-length-mm-to-horizontal-angle-of-view-degrees-at-smartphone-1-1-3/"
  }
}

API, OpenAPI and WebMCP documentation

Explanation

Smartphone 1/1.3" class uses crop factor 3.75 and sensor width 9.6 mm. HFOV = 2 x atan(9.6 / (2 x focal_mm)) in degrees. For input 1 mm, output is 156.463422136 deg.

Method & Sensor Profile

Sensor basis: Smartphone 1/1.3" class profile with crop factor 3.75 and sensor width 9.6 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	37.849289
24	22.619865
28	19.455157
35	15.617985
50	10.967181
70	7.845426
85	6.464187
135	4.072651
200	2.74967

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 Smartphone 1/1.3" class, crop factor 3.75, sensor width 9.6 mm.

How do I reverse mm to deg for Smartphone 1/1.3" class?

Use the opposite-direction page for Smartphone 1/1.3" class 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.