Difference in length of an arc and its subtended
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Explanation:
Radius of earth = 6371 km
Length of Arc = 18.5 km
Therefore
perimeter of earth /36o =length of arc/subtended angle assume X
Or 2 * pi *r /360. = 18.5 / Angle X
Here r = 6371 km , pi = 22/7
Angle X = 0.1663075584
Now as per attached diagram the value of straight chord = 2*6371*1.451306723/1000
Or chord length = 18.49255026 km
Arc length ( given ) = 18. 5 km
Difference = 7.449 m
However , this value may vary as per the value of pi , if taken exact , the difference may be only 0.649 cm
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