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At the equator the circumference of the earth is roughly 40 000 km. To change this to nautical miles find out how many feet that is (times it by 3280 as thats how many feet there are in a km and then divide that answer by 6080 (feet in a nautical mile) to give you circumference of the earth at the equator = 21,578 nautical miles.

Because the circumference at 60N will be much smaller we use 21, 578*cos lat (60 in this case). This gives us 10, 789 nautical miles.

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