Field of View Calculator (Angle of View and Scene Width)
Choose the sensor and enter the focal length and subject distance.
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Field of View Calculator (Angle of View and Scene Width) by TheCalcTools
How the Field of View Calculator (Angle of View and Scene Width) works
The angle of view of a rectilinear lens is 2 × atan(sensor dimension ÷ (2 × focal length)). The scene width at distance d is 2d × tan(angle ÷ 2), equivalent to d × sensor width ÷ focal length.
Shorter focal lengths and larger sensors see wider. Close focusing changes the effective focal length slightly.
The formula
Worked example
Using the default values shown in the calculator:
| Sensor | Full frame (36 × 24 mm) |
|---|---|
| Focal length (mm) | 24 |
| Subject distance (m) | 10 |
- 24 mm on full frame sees 73.7° across.
- At 10 m that covers 15.00 × 10.00 m.
Result:
| Horizontal angle of view (degrees) | 73.7 |
|---|---|
| Vertical angle of view (degrees) | 53.1 |
| Diagonal angle of view (degrees) | 84.1 |
| Scene width covered at the distance (m) | 15.00 |
| Scene height covered (m) | 10.00 |
Frequently asked questions
What is the angle of view of a 50 mm lens on full frame?
About 39.6° horizontally, 27° vertically and 46.8° diagonally.
Sources and further reading
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