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Camera Sensor and Field of View
Relate rectangular sensor dimensions, focal length and object-plane coverage.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
The worked inputs demonstrate the selected model; change a known value or leave an editable unknown empty for a supported inverse.
angle=2atan(sensor/(2f)); coverage=distance×sensor/f
Worked example
Enter these known values and leave the other values blank.
- Focal length (f)
- 50 mm
- Distance
- 10 m
- Sensor size (width)
- 36 mm
- Sensor size (height)
- 24 mm
- Sensor size (diagonal)
- 43.27 mm
- Angle of view (horizontal)
- 39.6 deg
- Angle of view (vertical)
- 26.99 deg
- Angle of view (diagonal)
- 46.79 deg
- Field of view (horizontal)
- 7.2 m
- Field of view (vertical)
- 4.8 m
- Field of view (diagonal)
- 8.653 m
Assumptions and limitations
- The centered rectilinear pinhole model ignores lens distortion, focus breathing and pupil magnification.
- Sensor and field diagonals use Pythagoras for lengths. Angular components combine through tangent half-angles, not direct angle squares.
Common questions
What does this model assume?
The centered rectilinear pinhole model ignores lens distortion, focus breathing and pupil magnification. Sensor and field diagonals use Pythagoras for lengths. Angular components combine through tangent half-angles, not direct angle squares.
How do units and inverse calculations work?
Choose compatible units for each quantity. The model converts quantities internally; supported editable fields can be solved from sufficient independent known values. Display rounding does not change the underlying value.
References
Rectangular sensor diagonals combine tangent half-angle components. The captured direct Pythagorean combination of angles overstates the diagonal field. All three inverse angle branches use the same rectilinear geometry. Explicit model domains enforce physical bounds and strict whole-count membership where required. Explanatory image content is replaced by original dimension descriptions without changing its visibility.
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