To find the circumference of a circle (or the cup in this case), you can use the formula:
\[ C = \pi \times d \]
where \( C \) is the circumference, \( \pi \) is approximately 3.14, and \( d \) is the diameter.
Given that the diameter \( d \) is 2 inches, we can substitute this value into the formula:
\[ C = 3.14 \times 2 \]
Calculating this gives:
\[ C = 6.28 \]
Therefore, the circumference of the cup is 6.28 inches.