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2 March, 04:30

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.

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  1. 2 March, 14:14
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    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
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