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How dpi relates to print size

What are the formulas?

One inch is 25.4 millimetres. Pixels needed = finished size in mm / 25.4 x dpi. Printable size in mm = pixels x 25.4 / dpi.

How many pixels does A4 need at 350 dpi?

A4 is 210mm by 297mm. 210 / 25.4 x 350 is about 2894 pixels, and 297 / 25.4 x 350 is about 4093 pixels. The first mode of this tool gives both.

What is effective resolution?

It is the dpi you actually get when an image you already have is printed at the size you want. Divide the pixel count by the finished size in mm divided by 25.4. If the value is low, the print is enlarged and looks coarse.

Are dpi and ppi different?

Strictly, dpi is the density of dots a printer lays down and ppi is the density of pixels in the image data. In everyday prepress work both mean "how many per inch", and this calculation treats them the same.

Frequently asked questions (FAQ)

How many pixels does A4 need at 350 dpi?

About 2894 by 4093 pixels, from 210mm / 25.4 x 350 and 297mm / 25.4 x 350.

How many millimetres is one inch?

25.4 millimetres. Every dpi calculation here is based on that value.

How do I calculate effective resolution?

Divide the pixel count by the finished size in mm divided by 25.4. A 3000px image printed 210mm wide gives 3000 / (210 / 25.4), about 363 dpi.

Is my input sent to a server?

No. All calculation runs in your browser. Your input is never sent to or stored on a server.