We report here a new possible two formulas for obtaining the length of irregular arc
ℓ
in terms of their base
b
and height
h
. The first formula is obtained by applying the law of cosines and intersecting chord theory and
ℓ
is given by
)416228422321(1cos)242(31018.2
hhbbbhhhb
. While the other is obtained by applying Pythagorean theory and
ℓ
is given by
Khbh
224
with an error of
2)2(
bh K
, where K is a constant and equal 0.313165528 and can be used only in case of 2h
<
b. Finally, the earth circumference is calculated by using the two formulas and their values are 39910.0252 Km and 39999.5504 Km, which is consistent with the reported elsewhere (39992.1984 km).
Research Abstract
Research Department
Research Journal
European Journal of Academic Essays
Research Member
Research Rank
1
Research Vol
Vol.1, No.9
Research Year
2014
Research Pages
PP.35-38