Given that the radius of a sphere is 4.7 km, latitude being (45°, 32°) and longitude (24°,17°), find the distance of the great circle. While the longitudes are depicted by x and y. The great circle formula is given as follows:ĭ = rcos -1 The diameter of both the sphere and the great circle coincides. Because the Earth is spherical, the great circle formula aids navigation by determining the shortest distance within the sphere.Īs can be seen below, the great circle is the one that shares the centre with the main sphere itself. The application of the great circle formula is utilized in the navigation of aircraft or ships, which is one of the few instances where it is applied.
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