Focal length (mm) to Horizontal angle of view (degrees) for Compact 1/2.5" class
Snapshot
On Compact 1/2.5" class, a 50 mm lens gives about 6.593189 horizontal angle of view. Conversion Encyclopedia keeps the same sensor profile across the calculator, common values, and reverse page for this page.
- Sensor profile: Compact 1/2.5" class (5.76 mm width, crop factor 6.8).
- Example: For 14 Focal length (mm), this gives 23.248791 Horizontal angle of view (degrees) on Compact 1/2.5" 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
141.703725 Horizontal angle of view (degrees)
SwitchMachine access
Available to apps and AI agents
Focal length (mm) to Horizontal angle of view (degrees) for Compact 1/2.5" class can be requested through Conversion Encyclopedia's structured interfaces by software and compatible AI agents. The compact-1-2-5 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
compact-1-2-5
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/convertRequest
{
"family": "camera-focal-equivalence",
"value": 1,
"from": "focal_length_mm",
"to": "horizontal_angle_of_view_degree",
"parameters": {
"sensorProfile": "compact-1-2-5"
}
}Essential response
{
"ok": true,
"conversion": {
"family": "camera-focal-equivalence",
"value": 1,
"from": "focal_length_mm",
"to": "horizontal_angle_of_view_degree",
"result": {
"raw": 141.7037250841208,
"display": "141.703725"
},
"canonicalPath": "/camera-focal-equivalence/focal-length-mm-to-horizontal-angle-of-view-degrees-at-compact-1-2-5/"
}
}Explanation
Formula: HFOV = 2 x atan(5.76 / (2 x focal_mm)) in degrees. Why: this page keeps Compact 1/2.5" class fixed, so crop factor and sensor width stay explicit for every calculation.
Compact 1/2.5" class: a sensor profile with crop factor 6.8 and sensor width (horizontal) 5.76 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 Compact 1/2.5" class and want the resulting horizontal framing angle.
This page is sensor-profile dependent rather than universal because camera equivalence changes with sensor geometry (Compact 1/2.5" class).
Common Conversion Values
| Focal length (mm) | Horizontal angle of view (degrees) |
|---|---|
| 14 | 23.248791 |
| 24 | 13.685547 |
| 28 | 11.745257 |
| 35 | 9.408053 |
| 50 | 6.593189 |
| 70 | 4.711967 |
| 85 | 3.881147 |
| 135 | 2.444249 |
| 200 | 1.650004 |
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 Compact 1/2.5" class, crop factor 6.8, sensor width 5.76 mm.
How do I reverse mm to deg for Compact 1/2.5" class?
Use the opposite-direction page for Compact 1/2.5" 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.