Focal length (mm) to Horizontal angle of view (degrees) for Smartphone 1/2" class

Snapshot

On Smartphone 1/2" class, a 50 mm lens gives about 7.323871 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 1/2" class (6.4 mm width, crop factor 5.6).
  • Example: For 14 Focal length (mm), this gives 25.750003 Horizontal angle of view (degrees) on Smartphone 1/2" 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.

Converter Calculator

145.291951 Horizontal angle of view (degrees)

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Explanation

Formula: HFOV = 2 x atan(6.4 / (2 x focal_mm)) in degrees. Why: this page keeps Smartphone 1/2" class fixed, so crop factor and sensor width stay explicit for every calculation.

Smartphone 1/2" class: a sensor profile with crop factor 5.6 and sensor width (horizontal) 6.4 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 1/2" 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 1/2" class).

Method & Sensor Profile

  • Sensor basis: Smartphone 1/2" class profile with crop factor 5.6 and sensor width 6.4 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 25.750003
24 15.189287
28 13.039604
35 10.447895
50 7.323871
70 5.234827
85 4.311999
135 2.715736
200 1.833309

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 1/2" class, crop factor 5.6, sensor width 6.4 mm.

How do I reverse mm to deg for Smartphone 1/2" class?

Use the opposite-direction page for Smartphone 1/2" 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.