Field of View Calculator

Get the horizontal, vertical and diagonal angle of view for any focal length and sensor, the scene width at a distance and the full-frame equivalent lens.

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About this tool

What is the Field of View Calculator?

This field of view calculator turns a focal length and a sensor size into the angle a lens sees, horizontally, vertically and across the diagonal. Add a subject distance and it shows the width and height of the scene in the frame, which answers the practical questions: will the whole building fit, how wide a stage does the camera cover from the back of the hall, and how big will a bird be in the frame.

It also gives the crop factor and full-frame equivalent focal length for APS-C, Micro Four Thirds, 1-inch and medium-format sensors, and works backwards to the focal length that fills the frame with a scene of a given width. A table lists common lenses on your sensor.

  • Horizontal, vertical and diagonal angle of view
  • Scene width, height and diagonal at any distance in metres or feet
  • Crop factor and full-frame equivalent focal length
  • Reverse mode: focal length to fill a given width
  • Sensor presets plus custom sizes and a lens comparison table
  • Top-down diagram of the horizontal angle
Read the guide: Field of View and Crop Factor: What a Lens Really Sees

How to use the Field of View Calculator

  1. Choose your sensor format, or Custom to enter its width and height in millimetres.
  2. Enter the actual focal length of the lens.
  3. Optionally enter the distance to your subject in metres or feet to see the scene width and height.
  4. Read the horizontal, vertical and diagonal angles and the full-frame equivalent.
  5. To pick a lens, enter the width you want to fill at that distance and read the focal length suggested.

Worked examples

Normal lens on full frame

Input

36 × 24 mm, 50 mm, 10 m

Output

39.6° × 27.0°, 46.8° diagonal; covers 7.2 × 4.8 m

Width = 10 × 36 ÷ 50. Every doubling of distance doubles the coverage.

Same lens on APS-C

Input

23.5 × 15.6 mm, 35 mm

Output

37.1° horizontal; 53.7 mm full-frame equivalent

The crop factor of 1.53 makes a 35 mm frame much like a 50 mm on full frame.

Lens to frame a stage

Input

Full frame, stage 12 m wide, camera 30 m away

Output

About 90 mm

f = distance × sensor width ÷ scene width = 30 × 36 ÷ 12. An 85 mm lens leaves a little room.

Background and insight

For a rectilinear lens focused at infinity, the angle of view across a sensor dimension d is 2 × atan(d ÷ 2f). On a 36 × 24 mm sensor a 50 mm lens therefore covers 39.6° horizontally, 27.0° vertically and 46.8° diagonally. Lens makers quote the diagonal figure, which is why a 24 mm is sold as an "84° lens" although it covers 73.7° across the long side.

The same geometry scales to the scene: at distance D the frame covers D × d ÷ f. A 50 mm lens on full frame at 10 m spans 7.2 m by 4.8 m. Crop factor is the ratio of the full-frame diagonal (43.27 mm) to the sensor diagonal, and the equivalent focal length is the real focal length multiplied by it, so a 35 mm lens on 23.5 × 15.6 mm APS-C frames like a 53.7 mm lens on full frame.

Equivalence describes framing, not the lens itself: the 35 mm lens keeps its own focal length, perspective from a given spot and f-number. Close focusing narrows the angle slightly because the lens moves away from the sensor (the image distance becomes f × (1 + m)), and fisheye lenses follow a different projection, so the calculator states that it assumes a rectilinear lens at infinity focus.

Common use cases

  • Choosing a lens before buying

    See exactly how much wider a 16 mm is than a 24 mm on your camera.

  • Event and stage coverage

    Work out which focal length frames a stage, a pitch or a wedding aisle from where you can stand.

  • Real estate and architecture

    Check whether a room or facade fits from the space you have.

  • Security and machine-vision cameras

    Find the scene width a sensor and lens cover at a mounting distance.

  • Switching systems

    Translate full-frame focal lengths you know into APS-C or Micro Four Thirds equivalents.

Tips and limitations

  • Check whether a spec sheet quotes diagonal or horizontal field of view before comparing lenses or action cameras.
  • Video modes often crop the sensor. Enter the recorded area as a custom sensor to get the real view.
  • Phone cameras list equivalent focal lengths; use the full-frame preset with those numbers to compare them directly.
  • Focus breathing changes framing in video; a lens can look a few degrees narrower at close focus.
  • Perspective depends on where you stand, not on focal length. A longer lens only crops the same view.

Frequently asked questions

How do you calculate angle of view?

Angle = 2 × atan(sensor dimension ÷ (2 × focal length)). Use the sensor width for horizontal, height for vertical and the diagonal for the figure lens makers quote.

What is the field of view of a 50mm lens?

On full frame 39.6° horizontal, 27.0° vertical and 46.8° diagonal. On APS-C with a 1.53 crop it is about 26.4° horizontal.

What does crop factor do to focal length?

Nothing to the lens itself. It narrows the view, so a lens frames like one crop-factor times longer on full frame: 25 mm on Micro Four Thirds frames like about 50 mm.

How wide is the area a lens covers at a distance?

Width = distance × sensor width ÷ focal length. A 24 mm lens on full frame covers 15 m across at 10 m.

Why does my camera show a narrower view in video mode?

Many cameras record video from a cropped area of the sensor or add electronic stabilisation, which crops further. Enter the cropped dimensions as a custom sensor.

What focal length matches human vision?

It depends on the definition. The central area we pay attention to is often compared with a 40 to 50 mm lens on full frame, while total peripheral vision spans much more than any rectilinear lens.

Is there an in-depth guide to the Field of View Calculator?

Yes. “Field of View and Crop Factor: What a Lens Really Sees” covers the background, how it works, common pitfalls and worked examples. Read the full guide.

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