Areas Of A Series Paper Sizes
The area of each of the A paper sizes are set by the A paper size definitions (see below). A0 is defined as having an area of 1 square metre, however the A paper size standard also specifies that each size is rounded to the nearest millimetre. Thus A0 is 841mm x 1189mm giving an area of 0.999949 square metres.
Theoretically the area of a sheet of paper of size An can be calculated as 1/2n m2.
The following table gives theoretical areas compared with actual areas for each of the A paper sizes from 4A0 to A10.
Table of Theoretical and Actual Areas of A Paper Sizes
|Size||Theoretical Area (sq m)||Actual Area (sq m)||Difference (sq m)||Difference (%)|
At the smaller sizes (A8, A9 & A10) the discrepancy between the theoretical area of the sheet and the actual area is about 1.5%. Larger sizes have significantly lower differences between the theoretical area and the actual area.
A Series Paper Sizes Defined
The A series paper sizes are defined in ISO 216 by the following requirements:
- The length divided by the width is 1.4142
- The A0 size has an area of 1 square metre.
- Each subsequent size A(n) is defined as A(n-1) cut in half parallel to its shorter sides.
- The standard length and width of each size is rounded to the nearest millimetre.
Note: For reference the last item is there because the root 2 aspect ratio doesn't always give a whole number.