If a ship sailed due south from Iceland to Antarctica, it would sail through an angel of rotation of about 140° around Earths center. Find this measure in radians. Then, using 3960 miles for earth radius, find how far the ship would travel.

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