How big a screen for a lecture hall? Work backwards from the back row

Universities often size the screen by the wall, then discover the back row cannot read a formula. A calculation that starts with the last seat instead.

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The rule that matters

The smallest readable character height is roughly 1/200 of the viewing distance for comfortable reading, and 1/150 for a lecture where students take notes. If the back row is 14 metres away, the smallest character on screen must be 70 mm tall.

From character to screen size

If a slide has 20 lines of text, the smallest character is about 1/25 of the screen height. So a 70 mm character means a screen height of 1.75 metres, which is a 126-inch 16:9 panel. That is much larger than most halls install.

The two ways halls get it wrong

  • Size by wall. They buy a 98-inch because it fits, and the back row is at 16 metres. The smallest character ends up at 45 mm, which is unreadable for notes.
  • Size by budget. They buy two 86-inch screens side by side. Now there are two images and the lecturer has to choose which one to point at.

The table we use

Back row distanceMin characterScreen height needed16:9 diagonal
8 m40 mm1.0 m75"
11 m55 mm1.4 m100"
14 m70 mm1.75 m126"
18 m90 mm2.25 m165"
These assume a 20-line slide. Fewer lines means a smaller screen can work.

The alternative that is often better

In a hall deeper than 15 metres, a single large screen at the front is worse for the back row than two screens at the sides, because the viewing angle to the centre becomes too acute. Two 98-inch screens angled inward at 15 degrees each usually beat one 150-inch screen, and they cost less.

The thing nobody checks

Ceiling height and sight lines. A 150-inch screen needs its bottom edge at least 1.1 metres above the floor so the front row does not block it, which means the top edge is at 3 metres. In a hall with a 3.2 metre ceiling and a projector housing, that does not fit.

What to take to the meeting

The distance from the screen to the last row, the number of lines on a typical slide, and the ceiling height. Those three numbers settle the size before anyone argues about brands.

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