If a ship sails from Iceland to Antarctica, it would sail through an angle of 140°, this is equivalent of:
140/180π radians
=7/9π rad
Given that the radius if the earth is 3960 miles, the distance that the ship traveled will be:
C=θ/360πd
d=(2r)=2*3960=7920 miles
θ=140
hence
C=140/360×π×7960
C=3080π miles
hence the distance the ship covered was 3080π miles
