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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