Seek Earth's Geography in Alg-Geometry

Geometry Level 3

Consider a semicircle with radius \(r\) and a point \(P\) on its circumference such that \(PA + PB\) is maximum.

Then, find the area of the blue region if \(r=6370\). (Radius of earth is 6370 km)

Use the approximation \(\pi = \dfrac{22}{7}\).

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