Calculate horizontal, vertical, and diagonal field of view for any focal length and sensor.
Field of View Calculator determines how much of a scene a lens covers horizontally, vertically, and corner to corner. Enter the focal length plus the sensor's physical width and height, using the same unit for all three measurements. The results are angular fields of view in degrees, not scene dimensions at a particular distance. A common mistake is to enter a sensor format name, crop factor, or pixel resolution where physical dimensions are required. Resolution does not determine angular coverage.
A concrete input and expected output from the current implementation.
Input
Focal length: 50 mm; sensor width: 36 mm; sensor height: 24 mm
Expected output
Horizontal FOV: 39.60 degrees; vertical FOV: 26.99 degrees; diagonal FOV: 46.79 degrees
For each direction, the angle is 2 * atan(dimension / (2 * focal length)). The diagonal dimension is sqrt(36^2 + 24^2), or about 43.27 mm, which produces the 46.79-degree diagonal result.
Horizontal FOV uses sensor width, while vertical FOV uses sensor height. Diagonal FOV first derives the sensor diagonal from its width and height, then applies the same angular calculation. Consequently, rotating the camera swaps the practical horizontal and vertical coverage but does not change the diagonal angle.
For a sensor dimension d and focal length f, the corresponding angular field is 2 * atan(d / (2f)). Only the ratio between those measurements matters, so millimeters are conventional but not mandatory. Increasing sensor size widens the reported angle; increasing focal length narrows it. No subject distance is needed because the result is an angle.
No. It reports angular coverage, so a subject distance is also needed to obtain scene width or height. For a flat plane perpendicular to the optical axis, coverage at distance L can be estimated as 2 * L * tan(FOV / 2). Perspective, depth variation, and lens distortion can make real scene boundaries differ.
Not by itself. One crop-factor value describes a diagonal comparison with a reference format, but it does not uniquely specify horizontal and vertical dimensions without an aspect ratio and reference dimensions. Entering the sensor's actual active width and height avoids that ambiguity and allows all three FOV values to be calculated directly.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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