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.
Use the reverse page if you need the opposite direction with the same basis.

Use the interactive calculator below for custom values and the common-value table for quick checks.

Interactive conversion

Converter Calculator

156.463422 Horizontal angle of view (degrees)

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Machine access

Available to apps and AI agents

Focal length (mm) to Horizontal angle of view (degrees) for Smartphone 1/1.3" class can be requested through Conversion Encyclopedia's structured interfaces by software and compatible AI agents. The smartphone-1-1-3 sensor profile tells the conversion engine which camera sensor setup belongs to the calculation.

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

The JSON API and OpenAPI specification use the identifiers to reach the conversion engine. WebMCP lets compatible AI agents request the same calculation.

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/"
  }
}

Full API documentation

Explanation

Formula: HFOV = 2 x atan(9.6 / (2 x focal_mm)) in degrees. Why: this page keeps Smartphone 1/1.3" class fixed, so crop factor and sensor width stay explicit for every calculation.

Smartphone 1/1.3" class: a sensor profile with crop factor 3.75 and sensor width (horizontal) 9.6 mm, used as the fixed framing basis for this page.

Focal length (mm): a camera-equivalence quantity in this family that depends on the selected crop model.

Horizontal angle of view (degrees): a camera-equivalence quantity in this family that depends on the selected crop model.

This route is useful when you know the focal length on Smartphone 1/1.3" class and want the resulting horizontal framing angle.

This page is sensor-profile dependent rather than universal because camera equivalence changes with sensor geometry (Smartphone 1/1.3" class).

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.