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Consider a sphere S2 of radius one. Choose two points A and B on its equator so that the arc angle between A and B

Consider a sphere S2 of radius one. Choose two points A and B on its equator so that the arc angle between A and B is /2 . Let ABN denote the spherical triangle in S2, where N is the north pole of the sphere. Consider a cylindrical projection f : S2 C to the cylinder C of radius one with axis passing through N. Find the area of the projection f(ABN).

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