Well, motion and range of motion in physics.
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The question is misguided. You do not use radius only on circles!
Because of the radius of the circle
The diameter of a circle is twice the radius.
If you create third circle with radius 2, then all the points on that circle would be equidistant form both circles. So the answer is a circle with radius 2.
Yes, it is true. Any circles with the same radius will have the same circumference as well.