This picture shows the position of a black hole in front of a coordinate frame

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Actually, you would see this, because curvature in space and time causes a deflection of light rays.

Light (-blue) region: light deflected by more than 90 degrees. Large (red) dotted circle: light deflected by 180 degrees; this is you. Black disk: you're looking into the hole; there's nothing but Hawking radiation. Small (yellow) circle: where the hole would have been seen if there were no light deflection, it shows the actual size.