“How to determine how large a screen is appropriate for the room?”
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It is not the room that you need to determine as being appropriate for the TV size, but the distance from how far from the TV you will be sitting. A general guideline is to sit between 1.5 to 2.5 times the diagonal screen measurement away, with about a 30-degree viewing angle. Go with the largest screen your room, viewing distance, and budget will accommodate. Today's TVs don't have scan lines. If you sit too far away, you'll be missing some of the picture detail you paid for. Of course, it is possible to sit too close to your TV. You're too close if you find yourself noticing the screen's "structure" — those rows and columns of pixels that look like tiny dots. If you're not sure which screen size is best for your room size and viewing distance, use the charts that are based on the recommendations of TV industry experts. It's okay to sit farther away than the distances recommended above. Virtually all 4K TVs support HDR (High Dynamic Range), which can deliver wider contrast and color range when showing HDR-encoded content. HDR's improvements are typically more noticeable than 4K's added detail, and can be seen from across a room. You can look up the Guidelines from the Society of Motion Picture & Television Engineers that recommend sitting at a distance where the screen fills up about 30° of your field of vision as a minimum for a good experience. Or you can look up the SMPTE "reference" position for movie theaters and the THX recommendation is about 40°. The minimum angle of vision works well for most usages though and sitting at a distance where the screen fills 30° of your horizontal field of view should be comfortable for most people...^IFV
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