3840 x 2160 Pixels to Inches
3,840 × 2,160 pixels is 40 × 22.5 inches at the 96 PPI screen standard, 25.6 × 14.4 inches at 150 DPI and 12.8 × 7.2 inches at 300 DPI.
Edit any field to convert a different size at the same resolution.
3,840 × 2,160 pixels in inches at every common resolution
The physical size depends entirely on the density you print or display at — these are the values people look up most.
| Resolution | Width × height in inches | In centimetres |
|---|---|---|
| 72 PPI | 53.333 × 30 | 135.467 × 76.2 |
| 96 PPI | 40 × 22.5 | 101.6 × 57.15 |
| 150 PPI | 25.6 × 14.4 | 65.024 × 36.576 |
| 300 PPI | 12.8 × 7.2 | 32.512 × 18.288 |
| 600 PPI | 6.4 × 3.6 | 16.256 × 9.144 |
How the conversion works
Inches are found by dividing the pixel count by the pixel density: inches = pixels ÷ PPI. For 3,840 × 2,160 pixels at 96 PPI that is 3,840 ÷ 96 = 40 and 2,160 ÷ 96 = 22.5.
3,840 × 2,160 is 4K UHD.
Printed at 300 DPI it covers 12.8 × 7.2 inches; on a 96 PPI screen the same pixels span 40 × 22.5 inches.
That is 8.29 megapixels in total, in 16:9 proportion. In metric the 300 DPI print measures 32.512 × 18.288 cm.
Frequently asked questions
How many inches is 3,840 × 2,160 pixels (4K UHD)?
40 × 22.5 inches at 96 PPI, 25.6 × 14.4 inches at 150 DPI and 12.8 × 7.2 inches at 300 DPI. Divide the pixels by the density you are using.
What size does 3,840 × 2,160 pixels print at 300 DPI?
12.8 × 7.2 inches, which is 32.512 × 18.288 cm. 300 DPI is the standard for photo and magazine printing.
What is 3,840 × 2,160 pixels in centimetres?
101.6 × 57.15 cm at 96 PPI, or 32.512 × 18.288 cm at 300 DPI.
Do these pixels need to be printed at 300 DPI?
Usually not. At 150 DPI they cover 25.6 × 14.4 inches, a size read from about a metre away, and at that distance 150 to 200 DPI is indistinguishable from 300. Holding to 300 gives 12.8 × 7.2 inches instead — a smaller print for no visible gain.
Is 3,840 × 2,160 a 16:9 ratio?
Yes. That is 16:9, which is not a standard print shape: the closest is a 4 × 6 print, and fitting it means losing about 16% along the long edge.
What is the largest standard print 3,840 × 2,160 pixels will make at 300 DPI?
A 5 × 7 print. 8.3 megapixels is 12.8 × 7.2 inches at 300 DPI, which covers a 5 × 7 print with the rest as margin or crop.