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As stated above, any spherical mass can be treated as a point mass - so you have all of the gravity "coming from" the point in the center of the circle.
I'm not sure what would happen if you spun up the sphere to near-light-speed values, that would be an interesting question to ask an astrophysics professor, but as long as the mass of the object doesn't change, the force of gravity it puts out does not change.
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