Yes, it is true. Any circles with the same radius will have the same circumference as well.
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The center of a circle is the same for all circles but the length of the radius can change
The bases of a cylinder are circles and both have circumferences Area of the base of cylinder and a circle is pi*radius2 Circumference of a cylinder and a circle is 2*pi*radius or diameter*pi
They are congruent or identical circles
The length of a radius of a circle is half of the diameter of the same circle. So, diameter is always 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.