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Where do a concentric sphere and square, both of area 1, intersect?

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Where do a concentric sphere and square, both of area 1, intersect?

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The shortest distance from the center on this square is 1/2 units. The radius of the sphere with a surface area of 1 is inferior to 1/2, meaning that the square and the sphere meat at every point on the circle of the same radius which is concentric and coplanar to the square.

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