Focal length (mm) to Horizontal angle of view (degrees) for Smartphone 1/1.7" class

Snapshot

On Smartphone 1/1.7" class, a 50 mm lens gives about 9.033971 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 1/1.7" class (7.9 mm width, crop factor 4.55).
  • Example: For 14 Focal length (mm), this gives 31.512068 Horizontal angle of view (degrees) on Smartphone 1/1.7" 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

151.586468 Horizontal angle of view (degrees)

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Explanation

Formula: HFOV = 2 x atan(7.9 / (2 x focal_mm)) in degrees. Why: this page keeps Smartphone 1/1.7" class fixed, so crop factor and sensor width stay explicit for every calculation.

Smartphone 1/1.7" class: a sensor profile with crop factor 4.55 and sensor width (horizontal) 7.9 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 1/1.7" 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 1/1.7" class).

Method & Sensor Profile

  • Sensor basis: Smartphone 1/1.7" class profile with crop factor 4.55 and sensor width 7.9 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 31.512068
24 18.692286
28 16.05962
35 12.877986
50 9.033971
70 6.459388
85 5.321309
135 3.351908
200 2.262889

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 1/1.7" class, crop factor 4.55, sensor width 7.9 mm.

How do I reverse mm to deg for Smartphone 1/1.7" class?

Use the opposite-direction page for Smartphone 1/1.7" 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.