A 16:9 frame is 16 units wide for every 9 units tall, so height = width × 9 ÷ 16 and width = height × 16 ÷ 9. A 1280-pixel width gives a 720-pixel height. From a screen diagonal, width = diagonal × 16 ÷ √337, so a 65-inch panel is about 56.65 in wide and 31.87 in tall.
Video editors, photographers cropping for YouTube thumbnails, and anyone measuring a wall for a television keep running into the same 16:9 frame. Enter one known side or the diagonal and the calculator fills in the rest: the matching width and height, the diagonal, the area and the exact width-to-height ratio of 1.7778. It works in any unit, pixels or inches or centimetres, and the output uses the unit you typed. When the result is fractional, it tells you, since a pixel dimension has to be a whole number and only widths divisible by 16 land on an exact 16:9 grid. One limit: a TV's quoted diagonal covers the visible panel only, so the cabinet with its bezel and stand will be a little larger than the figures here.
Choose Width, Height or Diagonal; only the matching box is shown.
Type the value in pixels or any length unit. The results come back in that same unit.
The headline shows width × height, with the diagonal, area and ratio listed below and the working shown step by step.
If a side is not a whole number, pick a width that is a multiple of 16 for clean pixel sizes.
Result Width × height (16:9): 1920 × 1080
Width: 1,920
Height: 1,080
Diagonal: 2,202.91
Area (width × height): 2,073,600
Width ÷ height: 1.7778
A 1920-pixel width gives the 1080-pixel height of the HDTV standard, with a pixel count of 2,073,600.
Result Width × height (16:9): 3840 × 2160
Width: 3,840
Height: 2,160
Diagonal: 4,405.81
Area (width × height): 8,294,400
Width ÷ height: 1.7778
Starting from the height, 2160 × 16 ÷ 9 returns the 3840-pixel UHD width.
Result Width × height (16:9): 47.94 × 26.96
Width: 47.94
Height: 26.96
Diagonal: 55
Area (width × height): 1,292.58
Width ÷ height: 1.7778
A 55-inch television panel is about 47.94 in wide and 26.96 in tall, before the bezel is added.
h = w × 9 ÷ 16; w = h × 16 ÷ 9; w = d × 16 ÷ √337, h = d × 9 ÷ √337
whd√337A 16:9 rectangle keeps width and height in fixed proportion, so one side fixes the other by simple scaling. For the diagonal, Pythagoras gives a 16 × 9 rectangle a diagonal of √(256 + 81) = √337, so each side is its share of 16 or 9 parts out of √337 times the real diagonal. The diagonal is then recomputed from both sides as a check.
The common ones are 1280 × 720 (HD), 1920 × 1080 (Full HD), 2560 × 1440 (QHD), 3840 × 2160 (4K UHD) and 7680 × 4320 (8K). Each width is a multiple of 16 and each height a multiple of 9, so the ratio is exact.
The visible panel is about 56.65 inches wide and 31.87 inches tall, from 65 × 16 ÷ √337 and 65 × 9 ÷ √337. Add the bezel and stand from the maker's sheet for the full cabinet size.
Yes. 16 divided by 9 is 1.7778, which film and broadcast people often write as 1.78:1. The two names describe the same frame.
Height is width × 9 ÷ 16, so it is whole only when the width divides evenly by 16. A 1000-pixel width gives 562.5 pixels; 1008 or 992 would give clean heights of 567 and 558.
At the same height, a 16:9 frame is one third wider than a 4:3 frame. At the same diagonal, a 16:9 screen has about 11 percent less area than a 4:3 screen, which is why older 4:3 TVs looked bigger for their size.
Yes. The maths only scales the number you enter, so a 140 cm diagonal returns width and height in centimetres. Pixels, millimetres and feet work the same way.
Using this tool in an assignment, article or report? Copy a citation, or a link for your website.
Tools Directory Editorial Team. (2026, October 9). 16:9 Calculator. Tools Directory. Retrieved October 27, 2026, from https://tools.milunir.com/photography/photography-planning/16-9-calculator/
Tools Directory Editorial Team. “16:9 Calculator.” Tools Directory, 9 Oct. 2026, https://tools.milunir.com/photography/photography-planning/16-9-calculator/. Accessed 27 Oct. 2026.
Tools Directory Editorial Team. “16:9 Calculator.” Tools Directory. Last modified October 9, 2026. Accessed October 27, 2026. https://tools.milunir.com/photography/photography-planning/16-9-calculator/.
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