Cobertura Angular
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Angular Coverage calculator helps determine the total angle covered by a lens or optical system. It uses the formula θ = 2·atan(d/(2f)), where 'd' is the object diameter and 'f' is the lens focal length. This calculation is critical for understanding how a lens captures a scene in terms of angular aperture, commonly applied in photography, astronomy, and optical design.
Use this tool when comparing lenses, planning compositions, or analyzing vision systems. For example, a photographer might calculate a lens's angular aperture to ensure it captures the desired landscape. The formula considers the optical system's geometry, but keep in mind that real-world results may vary due to distortions or lens limitations.
Notes: Ensure consistent units for diameter and focal length. The formula assumes the object is at infinity, which may not apply to close-range subjects. Also, remember that the calculated angular coverage is theoretical and might be affected by anamorphic lenses or optical aberrations.
Frequently asked questions
Why does the formula use arctangent?
The arctangent function relates the object height and focal length in right triangles, calculating the angle formed between the optical axis and the scene's edge.
How to choose between object diameter and height?
Use diameter for circular or symmetrical objects. For rectangular or asymmetrical objects, use the dimension that best represents the desired angular aperture.
Does the calculator account for optical distortions?
No, this calculation is theoretical and assumes an ideal lens. Distortions like barrel or pincushion affect real-world angular coverage.
Can I use this formula for macro lenses?
Yes, as long as the focal length is known. For macro lenses, the formula remains valid, but close focusing may require adjustments in practical applications.
What unit is the result in?
The result is an angle in radians or degrees, depending on the calculator's settings. Confirm the selected unit before interpreting data.