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I wanted to make the center of this circle be in the center of all the edges of this sphere. I don't want to use ctrl g because that may lead to human error.
You can use vertex snapping for perfect precision.
Using the snap to function it's quite easy.
In Edit Mode select the edge you want to align to, then press Shift + S and select Cursor to Selected. The 3D Cursor will be placed in the middle of your selected edge.
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