Distances Along Great Circles & Small Circles - SS3 Mathematics Lesson Note
DISTANCES ALONG GREAT CIRCLES
Recall, great circles are the lines of longitude and the equator whilst small circles are the other parallels of latitude.
The shortest distance
Example 3 Find the distance between this pair of points on the earth surface:
Solution
DISTANCES ALONG SMALL CIRCLES
Recall as one moves from the equator along the parallels of latitude to the north and south poles, their radii decreases. The equator has the largest radius whilst the north and south poles have effective radii of zero.
The distance along small circles,
Example 4 Find the distance between this pair of points on the earth surface:
Solution
Given