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Dimensions Of Paper Sizes Guide

Dimensions Of A Paper Sizes
Dimensions Of B Paper Sizes
Dimensions Of C Envelope Sizes
Dimensions Of RA & SRA Untrimmed Sizes
Newspaper Sizes
Postcard Sizes
US Paper Sizes
British Imperial Paper Sizes
Paper Size Scale & Magification Factors
Portrait & Landscape Paper
Paper Stock Types
Paper Quantities - Quire, Ream, Bundle, Bale & Pallet
What Is The Weight Of A Sheet Of Paper?
US to UK & International Paper Weights
Paper Weights
Paper Whiteness, Brightness & Shade
Dimensions US & North American Envlope Sizes
English Uncut Printing, Book & Drawing Paper Sizes
A4, Foolscap, Letter & Legal Paper Size Comparison

 

Paper Size Scale & Magification Factors


The ISO 216 paper sizes have some great properties when it comes to enlarging and reducing documents, because they all have the same aspect ratio if an A4 page is enlarged to A3 the margins around the page don't vary such that the top and side margins are of significantly different proportions and you don't get the text lost at the top, bottom or sides.

The scale factor for each reduction or enlargement is the same so reducing from A3 -> A4 (71%) is the same scaling as from A4 -> A5 and from A5 -> A6. Note that the reduction between each size is not 50% even though the smaller size has half the area. The scale factor for reduction is calculate by dividing the longer edge of the smaller size by the longer edge of the larger size (or the shorter edge of the smaller size by the shorter edge of the larger size).

Magnification Scale Factors Background

For the mathematically minded the scaling factor between A4 and A3 is the square root of 2 (√2) expressed as a percentage. and the scaling factor between A4 and A2 is (√2)2 (i.e. 2) expressed as a percentage. The table below gives generic formulae for conversions between different sizes of the same series and conversions between series for A and B paper sizes.

Conversion Formulae Decimal Percentage
A(n-1) -> A(n) √0.5 0.7071 71%
B(n) -> A(n) √(√0.5) 0.8409 84%
A(n-1) -> B(n) √(√0.5) 0.8409 84%
A(n) -> B(n) √(√2) 1.1892 119%
B(n) -> A(n-1) √(√2) 1.1892 119%
A(n) -> A(n-1) √2 1.4142 141%

Magnification Scale Factors Table for A Paper Sizes

The table below gives scale factors for enlarging or reducing documents between all of the A series paper sizes expressed as percentages (as this is how they are most commonly displayed on photocopiers and in print software). To get conversion factors from the table select the row for the size you are converting from (blue) and the column for the size you are converting to (red).

Size 4A0 2A0 A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 A10
4A0 100% 71% 50% 35% 25% 18% 12.5% 8.8% 6.3% 4.4% 3.1% 2.2% 1.6%
2A0 141% 100% 71% 50% 35% 25% 18% 12.5% 8.8% 6.3% 4.4% 3.1% 2.2%
A0 200% 141% 100% 71% 50% 35% 25% 18% 12.5% 8.8% 6.3% 4.4% 3.1%
A1 283% 200% 141% 100% 71% 50% 35% 25% 18% 12.5% 8.8% 6.3% 4.4%
A2 400% 283% 200% 141% 100% 71% 50% 35% 25% 18% 12.5% 8.8% 6.3%
A3 566% 400% 283% 200% 141% 100% 71% 50% 35% 25% 18% 12.5% 8.8%
A4 800% 566% 400% 283% 200% 141% 100% 71% 50% 35% 25% 18% 12.5%
A5 1132% 800% 566% 400% 283% 200% 141% 100% 71% 50% 35% 25% 18%
A6 1600% 1132% 800% 566% 400% 283% 200% 141% 100% 71% 50% 35% 25%
A7 2265% 1600% 1132% 800% 566% 400% 283% 200% 141% 100% 71% 50% 35%
A8 3200% 2265% 1600% 1132% 800% 566% 400% 283% 200% 141% 100% 71% 50%
A9 4573% 3200% 2265% 1600% 1132% 800% 566% 400% 283% 200% 141% 100% 71%
A10 6400% 4573% 3200% 2265% 1600% 1132% 800% 566% 400% 283% 200% 141% 100%

Magnification Scale Factors Table for A Paper Sizes to B Paper Sizes

The table below gives scale factors for enlarging or reducing documents between A paper sizes and B series paper sizes expressed as percentages (as this is how they are most commonly displayed on photocopiers and in print software). To get conversion factors from the table select the row for the size you are converting from (blue) and the column for the size you are converting to (red).

Size A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 A10
A0 119% 84% 59% 42% 30% 21% 14.8% 10.5% 7.4% 5.2% 3.7%
A1 168% 119% 84% 59% 42% 30% 21% 14.8% 10.5% 7.4% 5.2%
A2 238% 168% 119% 84% 59% 42% 30% 21% 14.8% 10.5% 7.4%
A3 336% 238% 168% 119% 84% 59% 42% 30% 21% 14.8% 10.5%
A4 476% 336% 238% 168% 119% 84% 59% 42% 30% 21% 14.8%
A5 673% 476% 336% 238% 168% 119% 84% 59% 42% 30% 21%
A6 955% 673% 476% 336% 238% 168% 119% 84% 59% 42% 30%
A7 1347% 955% 673% 476% 336% 238% 168% 119% 84% 59% 42%
A8 1911% 1347% 955% 673% 476% 336% 238% 168% 119% 84% 59%
A9 2719% 1911% 1347% 955% 673% 476% 336% 238% 168% 119% 84%
A10 3822% 2719% 1911% 1347% 955% 673% 476% 336% 238% 168% 119%

Magnification Scale Factors Table for B Paper Sizes to A Paper Sizes

The table below gives scale factors for enlarging or reducing documents between B paper sizes and A series paper sizes expressed as percentages (as this is how they are most commonly displayed on photocopiers and in print software). To get conversion factors from the table select the row for the size you are converting from (blue) and the column for the size you are converting to (red). 

Size A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 A10
B1 119% 84% 59% 42% 30% 21% 14.8% 10.5% 7.4% 5.2% 3.7%
B2 168% 119% 84% 59% 42% 30% 21% 14.8% 10.5% 7.4% 5.2%
B3 238% 168% 119% 84% 59% 42% 30% 21% 14.8% 10.5% 7.4%
B4 336% 238% 168% 119% 84% 59% 42% 30% 21% 14.8% 10.5%
B5 476% 336% 238% 168% 119% 84% 59% 42% 30% 21% 14.8%
B6 673% 476% 336% 238% 168% 119% 84% 59% 42% 30% 21%
B7 955% 673% 476% 336% 238% 168% 119% 84% 59% 42% 30%
B8 1347% 955% 673% 476% 336% 238% 168% 119% 84% 59% 42%
B9 1911% 1347% 955% 673% 476% 336% 238% 168% 119% 84% 59%
B10 2719% 1911% 1347% 955% 673% 476% 336% 238% 168% 119% 84%