Display viewing angle calculator

Calculate the horizontal angle a flat screen fills: angle = 2 atan(width/(2 × distance)).

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Image width

Perpendicular viewing distance

Answer

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Calculate the horizontal angle a flat screen fills: angle = 2 atan(width/(2 × distance)).

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Precision and calculation record

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Step-by-step calculation

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Formula and assumptions

Distance is perpendicular from the screen center to the observer; units must match. This gives geometry, not a recommended viewing distance or visual-acuity assessment.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Display viewing angle calculator

Calculate the horizontal angle a flat screen fills: angle = 2 atan(width/(2 × distance)).

Distance is perpendicular from the screen center to the observer; units must match. This gives geometry, not a recommended viewing distance or visual-acuity assessment.

Next: Display size calculator

A worked example

Example inputs: image width = 2, perpendicular viewing distance = 1. Horizontal viewing angle (degrees) = 90.

Before you use the result

Distance is perpendicular from the screen center to the observer; units must match. This gives geometry, not a recommended viewing distance or visual-acuity assessment.

Example results for image width

These examples use Perpendicular viewing distance: 1. They are reference calculations, not recommended settings.

Image width	Horizontal viewing angle (degrees)
1	53.1301023542
2	90
4	126.869897646

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