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TV Width and Viewing Geometry

Relate a 16:9 screen diagonal, horizontal viewing angle and seating distance.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. 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.

width=16d/√337; distance=width/(2tan(angle/2))

Worked example

Enter these known values and leave the other values blank.

Display screen width and viewing angle
Screen diagonal length
100 cm
Viewing angle
30 deg
Screen width
87.16 cm
Optimal distance
1.626 m
Minimal distance
1.52 m

Assumptions and limitations

  • The model assumes a flat 16:9 screen and a centered viewer. The selected viewing angle is an input preference, not a universal comfort recommendation.
  • The resolution distance assumes one arcminute per horizontal pixel; eyesight, content and panel characteristics may differ.

Common questions

What does this model assume?

The model assumes a flat 16:9 screen and a centered viewer. The selected viewing angle is an input preference, not a universal comfort recommendation. The resolution distance assumes one arcminute per horizontal pixel; eyesight, content and panel characteristics may differ.

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

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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