The following diagram depicts the Earth. For the sake of convenience and simplicity let us consider that the earth is completely spherical. The topmost point (N), where all the great circles meet, is called the North Pole. South Pole is denoted by the point (S) which is exactly opposite to the North Pole. All the vertical circles are passing through each pole are called longitude and all the horizontal circles that are parallel to each other are called as latitudes.

Let the centre of the earth be denoted by C and the radius of the earth is 6370 km. A man has to reach from the North Pole to a point D on the latitude with radius `3185sqrt3 km` in the Southern hemisphere of the earth. Find the minimum distance along the surface of the earth that he will have to travel.

Options

A. A) 40040 km
B. B) 32026.67 km
C. C) 13346.67 km
D. D) 14367.33 km

Answer

C