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Angular Degrees Field of View Calculator

Reviewed by Calculator Editorial Team

The Angular Degrees Field of View Calculator helps you determine the field of view in degrees for cameras, lenses, and optical systems. This measurement is crucial for photography, videography, and optical design to ensure the correct perspective and coverage.

What is Angular Degrees Field of View?

The angular field of view (FOV) is the extent of the observable world that is seen at any given moment. It is measured in degrees and determines how much of the scene is captured by a camera or optical system. The field of view is typically specified as the diagonal angle of the observable area.

Understanding the field of view is essential for various applications, including:

  • Photography and videography to achieve the desired perspective
  • Optical design to ensure proper coverage
  • Computer graphics to simulate realistic camera views
  • Surveillance systems to optimize coverage

The field of view is often confused with the focal length of a lens. While focal length determines the magnification, the field of view determines the width of the scene that is visible.

How to Calculate Field of View

The field of view can be calculated using the following formula:

Field of View (FOV) = 2 × arctan(sensor size / (2 × focal length))

Where:

  • Sensor size is the diagonal size of the image sensor in millimeters
  • Focal length is the distance from the lens to the image sensor in millimeters

For example, if you have a sensor size of 16mm and a focal length of 50mm, the field of view would be:

FOV = 2 × arctan(16 / (2 × 50)) ≈ 2 × arctan(0.16) ≈ 2 × 9.14° ≈ 18.28°

This means the camera would capture a scene with a 18.28° field of view.

Common Field of View Values

Different types of lenses and cameras have different field of view values. Here are some common examples:

Lens Type Field of View (Approximate)
Wide-angle lens 80° - 120°
Standard lens 40° - 60°
Telephoto lens 10° - 30°
Super-telephoto lens Below 10°

These values can vary depending on the specific lens and sensor size.

How to Use This Calculator

Using the Angular Degrees Field of View Calculator is straightforward. Follow these steps:

  1. Enter the sensor size in millimeters
  2. Enter the focal length in millimeters
  3. Click the "Calculate" button
  4. View the calculated field of view in degrees

The calculator will display the field of view in degrees and provide a visual representation of the result.

FAQ

What is the difference between field of view and focal length?
The field of view determines how much of the scene is visible, while the focal length determines the magnification. A wider field of view typically requires a shorter focal length.
How does sensor size affect the field of view?
A larger sensor size will result in a wider field of view for the same focal length, as it captures more of the scene.
Can I use this calculator for any type of camera?
Yes, this calculator can be used for any camera or optical system that provides the sensor size and focal length.
What units should I use for the sensor size and focal length?
Both the sensor size and focal length should be entered in millimeters.
Is the field of view calculation accurate for all lenses?
The formula provided is a general approximation. For precise calculations, consult the lens manufacturer's specifications.