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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.