# Communication Satellite

Classical Mechanics Level pending

A satellite is orbiting around the earth in an orbit in the equatorial plane of radius $$2R$$ (with $$R$$ is the radius of earth).Find the area on earth this satellite covers for communication purpose in one revolution.

If your answer is of form $$a \sqrt b R^2$$, where $$a$$ and $$b$$ are positive integers with $$b$$ square-free, submit $$a+b$$ as your answer.

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