I encountered this calculation in a Japanese site.  There is nothing special
about this itself but I found it interesting that the pixel pitch/area of
K100D is pretty good in relation to FF 5D.
In terms of pixel pitch alone, 4/3 obviously has disadvantage (I know image
quality is not a matter of pixel pitch alone).
Some of the mathematical symbols may not be copying well here (originally in
Japanese) but you get an idea.

Ken

Calculation of pixel pitch

fr= focal length at wide end
ff= 35mm equivalent focal length at wide end
a= aspect ratio, 3/4=0.75 or 2/3=0.66
p = effective pixel count
diagonal length of image in mm d=43.3×fr÷ff
image width w=√(d^2÷(a^2+1))
area per pixel a=w×w÷p
pixel pitch =√aw×w÷p
area =√(a×d^2÷(a^2+1)÷p)

Example of Calculation

1. Fuji Finepix F10 fr=8.0 ff=36.0 a=0.75 p=6300000 pixel d=43.3×8
÷36=9.62mm w^2=92.587÷1.5625=59.25568 pitch=√(0.75×59.25568
÷6300000)=2.65 micron. area 7.02 square micron

2. Olympus μdigital 800 fr=8.0 ff=38.0 a=0.75 p=8000000 pixel
d=43.3×8÷38=9.12mm w^2=83.1÷1.5625=53.18 pitch=√(0.75×53.18
÷8000000)=2.21 micron. area 4.88 square micron

3. Olympus E-330 a=0.75 p=7500000 pixel d=21.6mm w^2=468.29÷1.5625
=299.7 pitch=√(0.75×299.7÷7500000)=5.47 micron. area 29.9 square
micron

4.Olympus E-500 a=0.75 p=8000000 pixel d=21.64mm w^2=468.29÷1.5625
=299.7 pitch=√(0.75×299.7÷8000000)=5.30 micron. area 28.1 square
micron

5. Canon EOSKissDigitalN a=0.6666 p=8000000 pixel d=26.68mm w^2=711.88
÷1.4444=492.855 pitch=√(0.6666×492.855÷8000000)=6.40 micron. area
41.0 square micron

6. Pentax K100D a=0.6676 p=6100000 pixel d=√(23.5^2+15.7^2)=28.26mm w
=23.5mm pitch=√(23.5×15.7÷6100000)=7.78 micron. area 60.48 square
micron

7. Canon EOS5D a=0.6676 p=12800000 pixel d=43.04mm w^2=1852.44
÷1.44569=1281.35 pitch=√(0.6676×1281.35÷12800000)=8.17 micron. area
66.8 square micron


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