Field of View Calculator - Camera
Free Field of View Calculator - Camera for creative & design. Free online tool with accurate results using verified formulas.
Formula
FOV = 2 × arctan(sensor dimension / (2 × focal length))
The field of view angle is calculated using the inverse tangent of the ratio between the sensor dimension and twice the focal length. This applies independently for horizontal, vertical, and diagonal FOV using the respective sensor dimensions. Scene coverage at a distance uses the tangent of half the FOV angle.
Worked Examples
Example 1: Landscape Photography Planning
Problem: A photographer uses a 24mm lens on a full-frame camera (36mm × 24mm sensor). Calculate the FOV and scene coverage at 50 meters.
Solution: HFOV = 2 × arctan(36 / (2 × 24)) = 2 × arctan(0.75) = 73.74°\nVFOV = 2 × arctan(24 / (2 × 24)) = 2 × arctan(0.5) = 53.13°\nDiagonal FOV = 84.06°\nAt 50m: Width = 2 × 50 × tan(36.87°) = 75.0m\nHeight = 2 × 50 × tan(26.57°) = 50.0m
Result: HFOV = 73.74° | Coverage at 50m = 75m × 50m = 3,750 m²
Example 2: APS-C vs Full Frame Comparison
Problem: Compare the FOV of a 35mm lens on APS-C (Canon, 22.3 × 14.9mm) versus full frame (36 × 24mm).
Solution: Full Frame:\nHFOV = 2 × arctan(36/(2×35)) = 54.43°\nEquivalent FL = 35mm (crop factor 1.0)\n\nAPS-C Canon:\nHFOV = 2 × arctan(22.3/(2×35)) = 35.43°\nCrop factor = 43.27/26.82 = 1.61\nEquivalent FL = 35 × 1.61 = 56.4mm
Result: Full Frame: 54.43° HFOV | APS-C: 35.43° HFOV (56mm equivalent)
Frequently Asked Questions
What is field of view in photography?
Field of view (FOV) in photography refers to the angular extent of the scene captured by the camera lens, measured in degrees. It determines how much of the scene is visible in the image. A wider field of view captures more of the scene (like a landscape), while a narrower field of view magnifies a smaller portion (like a bird in a tree). FOV depends on two factors: the focal length of the lens and the sensor size. Shorter focal lengths produce wider fields of view, while longer focal lengths narrow the field. A 50mm lens on a full-frame camera has approximately a 46-degree horizontal FOV, which closely matches human vision's central focus area, making it a 'normal' lens that produces natural-looking perspectives.
How does sensor size affect field of view?
Sensor size dramatically affects field of view because a smaller sensor captures a smaller portion of the image projected by the lens, effectively cropping into the center. This is quantified by the crop factor (also called focal length multiplier), which compares a sensor's diagonal to the 35mm full-frame standard (43.27mm diagonal). An APS-C sensor with a 1.5x crop factor makes a 50mm lens behave like a 75mm lens on full frame in terms of field of view. Micro Four Thirds has a 2x crop factor, so a 25mm lens gives a 50mm equivalent FOV. Larger sensors like medium format (0.79x crop) have wider FOV at the same focal length. This is why smartphone cameras use very short focal lengths (typically 4-7mm) — their tiny sensors require it to achieve a useful field of view.
What is the difference between focal length and field of view?
Focal length is a physical property of the lens — the distance from the optical center to the sensor when focused at infinity, measured in millimeters. Field of view is the resulting angular coverage of the scene, measured in degrees. They are inversely related: as focal length increases, field of view decreases. However, the relationship is not linear — it follows an arctangent function: FOV = 2 × arctan(sensor dimension / (2 × focal length)). This means going from 24mm to 50mm loses much more FOV than going from 200mm to 400mm. The same focal length produces different FOVs on different sensor sizes, which is why equivalent focal length (actual FL times crop factor) is used to compare across camera systems.
Can I use Field of View Calculator - Camera on a mobile device?
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Is Field of View Calculator - Camera free to use?
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How accurate are the results from Field of View Calculator - Camera?
All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.