What is the easiest and most precise way to accomplish such a graphic in illustrator?

I was wondering how one would approach a graphic like thisenter image description here in Illustrator. And when I talk about this graphic I am actually talking about the connection between the circles.

Answer

It’s possible to get fairly accurate tangential curves to circles using some 45° rotated squares as guides, i.e. squares that are the same size as the radius of each circle, rotated around the circles’ centres using the Rotate tool, and then drawing a path with the Pen tool, making sure that the bézier handles of the curve snap to the corners of the squares.

Example

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Then you can copy and paste the path you made, and reflect it 180° and move it so that the ends snap to the centre of the circles

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Then once you have your shapes, you could use the Shape Builder tool to make the pieces.

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And finally you can use the Direct Selection tool to select all the anchors of one side, and freely move them.

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Or even scale them

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Here’s a zoomed in shot showing the accuracy of the tangent, in outline view.

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Attribution
Source : Link , Question Author : Marten Zander , Answer Author : Billy Kerr

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