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Home / General Calculators / Tv Size Calculator
General Calculators

Tv Size Calculator

Published onJanuary 14, 2026 Updated onOctober 24, 2026 10:05 am

A 55 inch television is not 55 inches wide. That number is the diagonal of the visible screen, and the width, height and floor space it needs all follow from that diagonal plus the aspect ratio. Enter those two figures below and the calculator returns the exact screen dimensions in inches and centimetres, the screen area, and a planning figure for viewing distance.

TV
TV Size Calculator
Diagonal and aspect ratio in, screen width, height, area and viewing distance out
Screen dimensions
0 x 0 inches
Screen area0 sq inches
Dimensions (cm)0 x 0 cm
Ideal viewing distance0 ft

Based on mixed usage, about a 30 degree viewing angle. Dimensions cover the visible screen only, so allow extra space for the bezel, stand and cables when you measure a wall or cabinet.

Quick Answer

A 55 inch 16:9 television measures 47.94 inches wide by 26.96 inches tall, covers 1,292.58 square inches of screen (121.8 x 68.5 cm), and the calculator gives a planning viewing distance of 7.4 feet. Type your own diagonal and aspect ratio into the calculator above for the same five figures on any set.

Key takeaways

  • TV size is the diagonal of the visible screen, not the width. A 55 inch set is 47.94 inches wide in 16:9, and the same 55 inch diagonal is only 44.00 inches wide in 4:3.
  • The calculator works forward only: diagonal and aspect ratio in, dimensions out. It does not take a viewing distance and return a size, so the reverse step in the guide below is arithmetic you do by hand.
  • The viewing distance is one planning figure, diagonal times 1.62, divided by 12. Treat it as a mixed-use guide, not a seating rule, and sit closer for 4K than for older HD sets.
  • Screen dimensions exclude the bezel and stand. Measure the full set, not just the screen, before you order a mount or a cabinet.
On this page
  • Quick Answer
  • How to use the TV size calculator
  • The TV size formula
  • Worked example: a 55 inch 16:9 television
  • Working backwards: from seating distance to screen size
  • Checking the fit before you buy
  • What competing calculators miss
  • Frequently asked questions
  • Add This Calculator to Your Website
  • References

How to use the TV size calculator

Two inputs and one click. The results stay hidden until you calculate, so nothing on the page pretends to be an answer before you ask for one.

  1. Enter the diagonal screen size in inches: use the advertised size, for example 55. The 55 inch example is pre-filled.
  2. Pick the aspect ratio: 16:9 for a standard TV, 21:9 for an ultrawide monitor or cinema screen, 4:3 for an old CRT set.
  3. Click Calculate: read the width, height, area, centimetre dimensions and viewing distance in the results box.
  4. Copy or share the result with the buttons in the results box when you want to keep the figures for shopping or mounting.

An entry that is blank, zero, negative or not a number is rejected with the message "Please enter a valid positive screen size." Nothing else in the tool changes that rule: the diagonal must be a positive number before any dimension is computed.

The TV size formula

Width and height come from splitting the diagonal by the aspect ratio with basic trigonometry. If W and H are the two sides of the ratio and D is the diagonal, the angle at the corner is atan(H divided by W), width is D times cos of that angle, and height is D times sin of that angle. Area is width times height, centimetres are inches times 2.54, and the viewing distance is the diagonal times 1.62, divided by 12 to turn inches into feet.

Width = D x cos(atan(H / W))
Height = D x sin(atan(H / W))
Area = Width x Height
Viewing distance (ft) = D x 1.62 / 12

The same result falls out of Pythagoras: width squared plus height squared equals diagonal squared, with width to height fixed by the ratio. The trigonometry version is what the tool runs, and it is worth stating plainly because it explains why two sets with the same diagonal can be very different shapes. A 55 inch 21:9 screen is 50.55 inches wide but only 21.67 inches tall, while a 55 inch 4:3 screen is 44.00 inches wide and 33.00 inches tall. Same diagonal, different television.

One honest limit belongs here. The 1.62 distance multiplier is applied to the diagonal whatever ratio you pick, and it is described in the tool as a mixed-use figure at about a 30 degree viewing angle. For a 16:9 screen that multiplier sits essentially on the widely quoted 30 degree figure, about 1.6264 times the diagonal. For ultrawide and 4:3 screens the same multiplier is a planning approximation rather than an exact 30 degree calculation from the screen width, because the width changes with the ratio while the multiplier does not. Use it to place seating in the right zone, then trust your eyes at the actual distance.

Worked example: a 55 inch 16:9 television

The calculator opens with 55 inches and 16:9 pre-filled. Running it gives the figures in the Quick Answer box, and each step is checkable by hand.

1. Angle: atan(9 / 16) = 29.36 degrees→ 2. Width: 55 x cos = 47.94 in; Height: 55 x sin = 26.96 in→ 3. Area: 47.94 x 26.96 = 1,292.58 sq in; 121.8 x 68.5 cm→ 4. Distance: 55 x 1.62 / 12 = 7.4 ft

Run the same tool on the other common sizes and the pattern is clear: width is roughly 87 percent of the diagonal in 16:9, height roughly 49 percent, and distance roughly one eighth of the diagonal in feet.

16:9 screenWidth (in)Height (in)Area (sq in)Viewing distance (ft)
32 inch27.8915.69437.554.3
43 inch37.4821.08790.085.8
55 inch47.9426.961,292.587.4
65 inch56.6531.871,805.348.8
75 inch65.3736.772,403.5610.1
100 inch87.1649.034,273.0013.5

Every row above is a real run of the calculator, so typing any of those diagonals in with 16:9 selected returns the same row.

Working backwards: from seating distance to screen size

The tool does not have a distance input, and the old article text that described one was wrong about what the tool does. The reverse step is still simple arithmetic with the same multiplier. Take your seating distance in inches and divide by 1.62. At 8 feet, that is 96 divided by 1.62, which is 59.3 inches, so a 55 inch or 65 inch set both sit near the planning figure and the choice comes down to resolution and taste. At 12 feet, 144 divided by 1.62 is 88.9 inches, which points at 85 inch and larger sets. For a 4K set, manufacturers such as Samsung publish shorter recommended distances than the mixed-use figure here, roughly 1.2 times the diagonal for an immersive 4K view, so a 65 inch 4K set can sit comfortably near 6.5 feet where the calculator's mixed-use figure says 8.8 feet. Resolution changes the answer, and a single multiplier cannot capture that. Use the calculator for dimensions, use the distance figure as a starting zone, and check the manufacturer's guidance for your resolution before you buy.

Checking the fit before you buy

Dimensions on paper are only half the fitting job. Add the bezel width on each side, the stand footprint or the mount plate, and clearance for cables and ventilation at the back. A 65 inch screen is 56.65 inches wide, so a 60 inch cabinet leaves under two inches per side once the bezel is counted, which is tight for ventilation and for getting a hand behind the set. Wall mounting has its own check: the mount must be rated for the set's weight and its VESA pattern, and the centre of the screen should sit near eye level from your normal seat. The diagonal distance calculator covers the same diagonal geometry in a general form, the room volume calculator helps when you are planning the room around the set rather than the set alone, and the house area calculator is useful when a new set is part of a larger room layout change.

What competing calculators miss

Most TV size tools on the search results take seating distance as the input and return a recommended size, which is the opposite direction from this tool. That direction is handy when the sofa cannot move, but it hides the dimensions you actually need for a wall or cabinet. Others give a size range for a distance without ever showing width, height or area. The tools that do show dimensions tend to stop at inches and skip centimetres, or give a distance with no explanation of which viewing angle it assumes. This page fills the gap the other way round: exact dimensions first, in both unit systems, with the distance multiplier stated openly so you can see it is a planning figure and adjust for 4K. What it does not do, and does not pretend to do, is recommend a size from your room, rate a brand, or judge picture quality. Those need the room measurement and the resolution, and the guide above says how to combine them with the dimensions here.

Frequently asked questions

No. The 55 inches is the diagonal of the visible screen. A 55 inch 16:9 television is 47.94 inches wide and 26.96 inches tall, and the same diagonal in 4:3 is 44.00 inches wide and 33.00 inches tall.

The calculator gives 7.4 feet as a mixed-use planning figure, which is 55 times 1.62 divided by 12. For a 4K set you can sit closer, with manufacturers publishing around 1.2 times the diagonal for an immersive view, which is about 5.5 feet for a 55 inch set. Treat the calculator figure as a starting zone, not a rule.

No. TV size is the diagonal of the visible screen only. The calculator dimensions also cover the screen only, so measure the full set including bezel and stand before checking a wall, mount or cabinet fit.

Not in this tool. It works from diagonal and aspect ratio to dimensions. To work backwards by hand, divide your seating distance in inches by 1.62: 96 inches (8 feet) divided by 1.62 is 59.3 inches, so a 55 inch or 65 inch set sits near that planning figure.

They are screen shapes as width to height. 16:9 is the standard widescreen TV shape, 21:9 is a much wider ultrawide shape used for monitors and cinema screens, and 4:3 is the squarer shape of old CRT televisions. The same diagonal gives a wider, shorter screen in 21:9 and a narrower, taller screen in 4:3.

Area is width times height, and it is the fairest way to compare two sets with the same diagonal but different shapes. A 55 inch 21:9 screen covers 1,095.26 square inches while a 55 inch 4:3 screen covers 1,452.00 square inches, so the 4:3 screen is the larger picture even though both are sold as 55 inch.

No. Past the point where the screen fills about 40 degrees of your view, you start moving your head to follow the action, and a set that is too large for its wall looks out of place. Match the screen to your seating distance and wall space, and let resolution decide how close you can sit.

Yes. It runs entirely in your browser, needs no account, and stores nothing. Copy the result with Copy my results or send it to another app with Share results.

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References

  1. Samsung. How to find the perfect TV size (recommended viewing distances by TV size and 4K resolution, dimensions by size). Accessed October 24, 2026.
  2. Samsung UK. How to Measure and Find the Perfect TV Size (diagonal measurement of the visible screen only, 1.2 times diagonal as the 4K viewing distance guide, 55 to 65 inch as the balance for most living rooms). Accessed October 24, 2026.
  3. LG Canada. How Far Should You Sit From TV (viewing distance divided by 1.2 as the 40 degree viewing angle guide, recommended cinema distances by size range). Accessed October 24, 2026.
  4. Engadget. What is the 30-degree rule for TVs? (30 degree field of view at about 1.6 times the diagonal for general content, 40 degree rule at 1.2 times the diagonal for immersive viewing, 55 inch at 7 feet 4 inches). Accessed October 24, 2026.
  5. CouchSetup. TV Size Calculator: Best Size for Any Distance (16:9 distance chart by viewing angle, 55 inch at 7 feet 5 inches for a 30 degree view, 4K detail distances). Accessed October 24, 2026.
  6. Home Theater Academy. Home Theater Viewing Distance Calculator (THX 36 degree and SMPTE 30 degree viewing angle standards, distance tables by screen size). Accessed October 24, 2026.
  7. HomeTheaterHifi. Viewing Distance (SMPTE 30 degree viewing angle, distance equals 1.8664 times screen width, and the practical note that the strict figure can sit too close for many viewers). Accessed October 24, 2026.

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