How to generate a two-circumference curve?

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I have these two circles.
enter image description here

And I would like to generate a curve like this, what is the most exact way to do it?

enter image description here

Answer

  • Rotate each circle 45° (causing them to have an overlapping anchor point)
  • Use the Direct Selection Tool (White arrow) to click anchors and delete them, leaving appropriate segments.
  • Select the middle 2 anchor points and join them (Object > Path > Join)

enter image description here

Rather than rotating the circles, you could also use Object > Path > Add Anchors to create additional anchor points for smaller segments. New anchor points are added halfway between existing anchor points. In this case, you may not need to rotate the circles. They will inherently gain an overlapping anchor point.

Attribution
Source : Link , Question Author : JamalDols , Answer Author : Scott

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