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A-Series Paper Size

A0 is 841 × 1189 mm, an area of exactly one square metre. Each step up the number halves the long side, so A4 lands at 210 × 297 mm.

Your numbers

Length

297mm

Width

210mm

Area

623.7cm²

Formula

Length = 1189 ÷ 2^(⌈A-series number÷2⌉), Width = 841 ÷ 2^(⌊A-series number÷2⌋)

The 1:√2 side ratio is what lets the proportions survive every fold in half.

What to enter

InputDefaultAccepted range
A-series numberThe number in an A size; each step up halves the sheet.40 ~ 10

Step by step

FormulaLength = 1189 ÷ 2^(⌈A-series number÷2⌉), Width = 841 ÷ 2^(⌊A-series number÷2⌋)
With the default numbersLength = 1189 ÷ 2^(⌈4÷2⌉), Width = 841 ÷ 2^(⌊4÷2⌋)
AnswerLength = 297 mm

Quick reference table

Results when only A-series number changes and everything else stays put.

A-series numberLength (mm)Width (mm)Area (cm²)
25944202,494.8
34202971,247.4
4297210623.7
6148105155.4
8745238.5

What each result means

ResultAt default values
Length (mm)The measurement across, side to side.297
Width (mm)The measurement front to back.210
Area (cm²)The space a shape covers — length squared.623.7

Common mistakes

The 1:√2 side ratio is what lets the proportions survive every fold in half.

Glossary

A-series number
The number in an A size; each step up halves the sheet.
Length
The measurement across, side to side.
Width
The measurement front to back.
Area
The space a shape covers — length squared.

Frequently asked questions

Q. How is A-Series Paper Size calculated?

Length = 1189 ÷ 2^(⌈A-series number÷2⌉), Width = 841 ÷ 2^(⌊A-series number÷2⌋) — A0 is 841 × 1189 mm, an area of exactly one square metre. Each step up the number halves the long side, so A4 lands at 210 × 297 mm.

Q. Can you walk through an example?

With A-series number 4, the answer is Length 297mm.

Q. What do I need to enter?

Enter A-series number. The result recalculates as you type, and an empty box counts as zero.

Q. How much does the answer move if I change a number?

Changing only A-series number moves the answer to A-series number 2 → Length (mm) 594 and A-series number 8 → Length (mm) 74. The table below lays out five steps.

Q. How are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

Q. Anything to watch out for?

The 1:√2 side ratio is what lets the proportions survive every fold in half.

Related calculators

Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.