Camera calculator · free in CineMath

Field of View Calculator

Horizontal, vertical and diagonal angle of view, and frame coverage at any distance.

Field of View gives the angle a lens sees on a given sensor, and how wide and tall the frame is at a given distance. Enter the recorded area of the mode you shoot, not just the sensor's headline size, and turn on Anamorphic to widen the horizontal angle by the squeeze factor.

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CineMath Field of View on iPhone: a 50 mm lens on a 36 × 24 mm sensor sees 39.6° horizontal, 27.0° vertical and 46.8° diagonal, and covers 23.6 ft across at 10 m

Worked examples

Worked examples

Worked examples
Lens and sensorHorizontalVerticalDiagonalFrame at 3 m
50 mm, full frame 36 × 24 mm39.6°27.0°46.8°2.16 × 1.44 m
35 mm, Super 35 24.89 × 18.66 mm39.1°29.9°47.9°2.13 × 1.60 m
25 mm, Micro Four Thirds 17.3 × 13 mm38.2°29.1°46.8°2.08 × 1.56 m

Anamorphic

Anamorphic
Lens, squeeze and sensorHorizontalVerticalFrame at distance
50 mm 2×, Super 35 24.89 × 18.66 mm52.9°21.1°9.96 × 3.73 m at 10 m
40 mm 1.5×, full frame 16:9 36 × 20.25 mm68.0°28.4°6.75 × 2.53 m at 5 m

What you enter

  • Focal length (mm), with presets 14, 24, 35, 50, 85 and 135
  • Distance to the subject: meters, or feet when the app is set to Imperial, with presets from 1 to 50 m
  • Sensor width (mm), with presets 36, 24.89, 23.6, 22.3, 17.3 and 13.2
  • Sensor height (mm), with presets 24, 18.66, 15.6, 14.9, 13 and 8.8
  • Anamorphic on or off, with squeeze presets 1.25, 1.33, 1.5, 1.8 and 2.0× or a custom factor

What you get

  • Horizontal and vertical angle of view (degrees), with the diagonal angle as a detail row
  • Frame width and height covered at the distance, in meters or feet
  • The formula with your numbers in it
  • A warning when the horizontal angle reaches 170°, where a rectilinear lens stops making sense

How CineMath works it out

  • Angle = 2 × atan(sensor dimension ÷ (2 × focal length)), for width, height and diagonal
  • Coverage = 2 × distance × tan(angle ÷ 2), which is the same as distance × sensor dimension ÷ focal length
  • Anamorphic: the horizontal angle and frame width use sensor width × squeeze; the vertical angle, frame height and diagonal figure use the sensor as entered
  • Uses the focal length as marked, which is exact at infinity focus; it does not model focus breathing, so close-up coverage runs slightly large

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