Step 1 :The relationship between the circumference and diameter of a circle is given by the formula \(C = \pi d\), where \(C\) is the circumference and \(d\) is the diameter.
Step 2 :We are given that a circle with a diameter of 6 has a circumference of 18.84. This gives us the value of \(\pi\) as \(\frac{18.84}{6} = 3.14\).
Step 3 :We can use this value to find the diameter of a circle with a circumference of 6.28 by rearranging the formula to \(d = \frac{C}{\pi}\).
Step 4 :Substituting the given values into the formula, we get \(d = \frac{6.28}{3.14} = 2.0\).
Step 5 :Final Answer: The diameter of a circle with a circumference of 6.28 is \(\boxed{2}\).