keisoku

Camera Angle of View Calculator

Enter a lens focal length and image sensor size to instantly calculate how wide a scene the camera captures: the horizontal, vertical, and diagonal angle of view. Includes presets for full frame, APS-C, Micro Four Thirds and more (plus custom sensor sizes) and shows the 35mm equivalent focal length too.

Input

Estimate how much of a scene a lens captures (its angle of view) from the focal length and image sensor size. Sensor dimensions vary slightly by brand and model, so treat the results as a guide.

mm
Sensor size

Result

Diagonal angle

46.8°

Horizontal angle

39.6 °

Vertical angle

27.0 °

Diagonal angle

46.8 °

35mm equivalent focal length

50.0 mm

Crop factor

1.0×

Calculation details

ItemValue
Focal length50.0 mm
Sensor width × height36.0 × 24.0 mm
Sensor diagonal43.3 mm
Horizontal angle39.6 °
Vertical angle27.0 °
Diagonal angle46.8 °

How it works

  • The angle of view is found with: angle (degrees) = 2 × atan( sensor dimension ÷ (2 × focal length) ) × (180 ÷ pi). Using the sensor width, height, or diagonal gives the horizontal, vertical, or diagonal angle of view respectively.
  • The sensor diagonal is calculated from its width and height as diagonal = √(width² + height²). The headline figure is the diagonal angle of view derived from this diagonal.
  • A shorter focal length gives a wider angle of view (wide angle), while a longer one narrows it (telephoto). For the same focal length, a larger sensor produces a wider angle of view.
  • The 35mm equivalent focal length is shown as focal length × crop factor. The crop factor is a guide based on the ratio of each sensor's diagonal to a full-frame diagonal (about 43.27mm).
  • Actual sensor dimensions vary slightly by manufacturer and model. The presets use common nominal values, so enter custom dimensions from your camera's spec sheet when you need a precise angle of view.
  • Results are a guide for choosing lenses and planning composition. The real captured area also depends on lens design (distortion and so on) and shooting distance.

Reviews

Tell us what you think of this calculator.

Write a review

Found an incorrect result or a problem? Turn this on to report it.
  1. Home
  2. Camera Angle of View Calculator