Field of View Calculator
Horizontal, vertical and diagonal angles of view, the frame size at a distance, and the crop factor.
Results
Horizontal angle of view
39.5978
°
Vertical angle of view
26.9915
°
Diagonal angle of view
46.7930
°
Frame width at that distance
7.2000
m
Frame height at that distance
4.8000
m
Crop factor
1.0000
What this tool does
The frame width at a distance is the number that actually helps when planning a shot: a 50 mm lens on full frame covers 7.2 metres across at ten metres, so a group photo needs either more room behind you or a wider lens. Crop factor is quoted against the 43.27 mm diagonal of 35 mm film, which is why an APS-C sensor comes out near 1.5.
Formula
angle = 2 arctan(d ÷ 2f)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
fl | Focal length | mm |
sw | Sensor width | mm |
sh | Sensor height | mm |
ds | Distance to the subject | m |
AH | Horizontal angle of view | ° |
AV | Vertical angle of view | ° |
AD | Diagonal angle of view | ° |
WD | Frame width at that distance | m |
HT | Frame height at that distance | m |
CF | Crop factor | — |
Worked example
- Focal length50 mm
- Sensor width36 mm
- Sensor height24 mm
- Distance to the subject10 m
- Horizontal angle of view39.5978 °
- Vertical angle of view26.9915 °
- Diagonal angle of view46.7930 °
- Frame width at that distance7.2000 m
- Frame height at that distance4.8000 m
- Crop factor1.0000
Limitations
- The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
- The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.