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Screen width from the diagonal

Useful for checking that the panel fits the cabinet or wall space.

The Formula

width = 16 x diagonal / sqrt(337)

Useful for checking that the panel fits the cabinet or wall space.

SymbolMeaning
wScreen width
dDiagonal
33716^2 + 9^2

What Each Symbol Means

winches

Screen width

The horizontal size of the picture.

dinches

Diagonal

The advertised screen size.

337unitless

16^2 + 9^2

The squared diagonal of a 16 by 9 rectangle.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate tv viewing distance page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate TV Viewing Distance, filed under Everyday Life. Every number the guide produces comes from substituting into this one line.