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That is defined by the outer limit of the orbit of the Oort Cloud which is believed to be roughly spherical. The inner limits of the Oort Cloud begin at about 2,000 AU from the Sun. The cloud itself stretches out almost a quarter of the way to the nearest star, Proxima Centauri which is 4.3 light-years from the Sun. (Radius therefore = 1.075 Light years).

Thus you have a choice of calculating the surface area of the Oort Cloud's sphere. A = 4 π r 2

Or the area of the plane of the solar system where it intersects that sphere. A= ¼ • π • d²

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