If we imagine the students standing in a circle, the distance between the 5th person and the 14th person is 9 places. Since the students are evenly spaced, we can divide the circle into 9 segments. Each segment represents the space in between two students. Since there are 9 segments, there are also 9 pairs of students.
Therefore, there are $9+1=10$ students in the circle. Answer: $\boxed{10}$.
At recess, students lined up in a circle to play a game. The students stood evenly spaced in the circle. The 5th person was directly across from the 14th person. How many students were in the circle?
1 answer