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Lens Field of View Calculator

Horizontal, vertical and diagonal angles plus scene width at any distance — what the lens actually sees, for any focal length and sensor.

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Horizontal FoV (°)
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Vertical FoV (°)
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Diagonal FoV (°)
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Scene width at distance (m)
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Scene height at distance (m)

Spec sheets quote the flattering diagonal angle; composition happens in the horizontal. The scene-width output is the working number for jobs: interview framing, surveillance coverage, product-table coverage, group-photo math — multiply your way to the lens before the shoot.

Formula

FoV = 2 × atan(sensor dimension / 2f); scene width = 2 × distance × tan(FoV/2) — thin-lens, distant focus
References: Ray, S., Applied Photographic Optics (Focal Press); Kingslake, R., Optics in Photography (SPIE)

⚠️ Optical estimates based on standard formulas and circle-of-confusion conventions — lens markings, sensor specs and real-world testing have the final word.

Horizontal, vertical and diagonal angles plus scene width at any distance — what the lens actually sees, for any focal length and sensor.

About Lens Field of View Calculator

A '84° lens' sounds precise until you ask: 84° measured across what? Manufacturers quote the diagonal (the biggest number); cinematographers think horizontal; drone and security planners need metres-of-scene-covered at a working distance. This calculator computes all three angles from focal length and sensor geometry, then converts to the practical question — how wide and tall is my frame at X metres — that decides lens choice for interviews, real-estate rooms, group portraits and camera placement.

How to use Lens Field of View Calculator

  1. 1Enter — sensible defaults are pre-filled so you see a worked result immediately.
  2. 2Read the live results: .
  3. 3Check the "With your numbers" line to see the formula FoV = 2 × atan(sensor dimension / 2f); scene width = 2 × distance × tan(FoV/2) — thin-lens, distant focus substituted step by step.
  4. 4Adjust inputs (or flip the unit toggle) until the scenario matches yours, then copy or share the result.

Why use Lens Field of View Calculator?

  • Instant, free and private — every calculation runs in your browser, nothing is uploaded
  • Built on the published formula FoV = 2 × atan(sensor dimension / 2f); scene width = 2 × distance × tan(FoV/2) — thin-lens, distant focus with sources cited on the page
  • Spec sheets quote the flattering diagonal angle; composition happens in the horizontal. The scene-width output is the working number for jobs: interview framing, surveillance coverage, product-table coverage, group-photo math — multiply your way to the lens before the shoot.
  • Switch units, tweak any input and watch every result update live

Frequently asked questions

Why does my zoom seem to see less when I focus close?+

Focus breathing: the thin-lens FoV formula assumes focus near infinity, and many internal-focus designs shorten effective focal length as they focus closer — some 70-200s famously frame like ~135mm at minimum distance. Video shooters pay for breathing-corrected cine lenses precisely to kill this. For close-range planning (products, macro, interviews under 2 m), test the actual lens; for landscape-to-mid distances this calculator's angles hold within a degree or two.

What focal lengths give what angles — the reference ladder?+

Full-frame horizontals worth memorizing: 14mm → 104°, 24mm → 74°, 35mm → 54°, 50mm → 40°, 85mm → 24°, 135mm → 15°, 200mm → 10°, 400mm → 5°. Halving the angle requires doubling the focal length (the atan flattens out fast past 50mm — that's why tele lenses feel linear: at small angles FoV ≈ sensor/f in radians). Crop sensors slide the whole ladder by their factor.

How do I pick a lens to cover a known scene width?+

Invert the formula: required focal length ≈ sensor width × distance ÷ scene width (small-angle form, fine beyond ~30°... narrower). Example: cover a 4-m interview backdrop from 3 m on full frame → 36 × 3 ÷ 4 = 27mm; the exact atan math this page runs says 26mm. Same arithmetic sizes security-camera coverage, fixes the group-photo lens before the wedding, and explains drone-shot ground footprint (our mapping tools run that variant with overlap).

Do action cameras and phones really have 'wider' lenses?+

They have shorter REAL focal lengths matched to tiny sensors: a GoPro's ~3mm lens on a 1/1.9-inch-class sensor yields a 120°+ diagonal — equivalent to ~16mm full-frame but with enormous DoF for free (crop factor squared works in its favor: everything from 30 cm to infinity is sharp at f/2.8). The cost is the same equivalence arithmetic running backward — tiny total light capture, hence the night-mode computational tricks. FoV math is sensor-agnostic; light-gathering never is.

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