Give Degrees Field Calculator Degrees
'/%3E%3Ccircle cx='48' cy='39' r='19' fill='%23f2c9a5'/%3E%3Cpath d='M27 35c3-16 39-17 42 2-8-8-27-9-42-2z' fill='%23374151'/%3E%3Cpath d='M21 86c5-24 49-28 56 0z' fill='%232563eb'/%3E%3Ccircle cx='41' cy='41' r='2' fill='%23111827'/%3E%3Ccircle cx='55' cy='41' r='2' fill='%23111827'/%3E%3Cpath d='M42 52c4 3 9 3 13 0' stroke='%2392400e' stroke-width='3' fill='none' stroke-linecap='round'/%3E%3C/svg%3E)
Reviewed by Calculator Editorial Team
Understanding the field of view in degrees is essential for photography, videography, and optical systems. This calculator helps you determine the angle of view for cameras, lenses, and other optical devices by calculating the field of view in degrees based on sensor size and focal length.
What is Field of View?
The field of view (FOV) is the extent of the observable world that is seen at any given moment. In photography and videography, it's typically measured in degrees and determines how much of a scene is captured by the camera. A wider field of view captures more of the scene, while a narrower field of view zooms in on a specific area.
Field of view is crucial for selecting the right lens or camera for your needs. For example, a wide-angle lens with a field of view of 90 degrees is ideal for landscapes, while a telephoto lens with a field of view of 20 degrees is better for capturing distant subjects.
How to Calculate Field of View
Calculating the field of view involves determining the angle of view based on the sensor size and focal length of the lens. The formula for calculating the field of view in degrees is:
Field of View Formula
FOV = 2 × arctan[(sensor size / (2 × focal length))]
Where:
- FOV = Field of View in degrees
- sensor size = Diagonal size of the sensor in millimeters
- focal length = Focal length of the lens in millimeters
To calculate the field of view, you need to know the diagonal size of the sensor and the focal length of the lens. The sensor size is typically provided by the camera or lens manufacturer, and the focal length can be found on the lens itself.
Field of View Formula
The field of view formula is derived from the geometry of the camera and lens system. The formula calculates the angle of view based on the sensor size and focal length. Here's a step-by-step explanation of the formula:
- Calculate the diagonal size of the sensor in millimeters.
- Divide the sensor size by twice the focal length.
- Take the arctangent of the result from step 2.
- Multiply the result from step 3 by 2 to get the field of view in degrees.
Note
The field of view formula assumes that the sensor is rectangular and that the lens is centered on the sensor. For more complex camera systems, additional factors may need to be considered.
Example Calculations
Let's look at some example calculations to understand how the field of view formula works. We'll calculate the field of view for a camera with a sensor size of 24mm and a focal length of 50mm.
Example Calculation
FOV = 2 × arctan[(24 / (2 × 50))]
FOV = 2 × arctan[0.24]
FOV ≈ 2 × 13.78°
FOV ≈ 27.56°
In this example, the field of view is approximately 27.56 degrees. This means that the camera captures a scene that spans about 27.56 degrees horizontally and vertically.
Common Field of View Values
Different lenses and cameras have different field of view values. Here are some common field of view values for different types of lenses and cameras:
| Lens Type | Field of View (Degrees) | Use Case |
|---|---|---|
| Wide-angle lens | 80-100° | Landscapes, architecture, group photos |
| Standard lens | 40-60° | General photography, portraits |
| Telephoto lens | 20-30° | Sports, wildlife, distant subjects |
| Super telephoto lens | 5-10° | Birds of prey, astronomy, extreme close-ups |
Understanding the field of view values for different lenses can help you choose the right lens for your photography or videography needs.
FAQ
What is the difference between field of view and angle of view?
Field of view and angle of view are often used interchangeably, but they can refer to slightly different concepts. Field of view typically refers to the extent of the observable world that is seen at any given moment, while angle of view refers to the angular width of the scene captured by the camera.
How does the field of view affect the composition of a photograph?
The field of view affects the composition of a photograph by determining how much of the scene is captured. A wider field of view captures more of the scene, while a narrower field of view zooms in on a specific area. This can affect the overall look and feel of the photograph, as well as the placement of subjects within the frame.
What is the relationship between focal length and field of view?
Focal length and field of view are inversely related. A longer focal length results in a narrower field of view, while a shorter focal length results in a wider field of view. This is because a longer focal length magnifies the image, while a shorter focal length captures a wider angle of the scene.