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
