The diameter or girth of trees are measured assuming the tree section to be circular. Actiually, the tree section is rarely circular. It often deviates form circular shape usually tending to elliptical shape.

Particulars of the basis calculating area Basal Area Errors as compared to the true basal area of ellipse
i) True area of ellipse πab No error or less error
ii) Area of circle basedon two diameters
a) By formula π {(a+b)/2}2
b) By Formula π {(a2+b2)/2}
Πab+ 2K/32
Πab+ 4K/32
+ 2K/32
+ 4K/32
iii) Area of circle based on girth measurement by formula g2/4π Πab+ 3K/32 3K/32

where, π is 3.1416, and K= e4(1+e2/2)Πa2

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