We can use the following formula to find the radius of the circle:
```
r = sqrt((c/2)^2 + h^2)
```
where `r` is the radius of the circle, `c` is the length of the chord, and `h` is the distance between the center of the circle and the chord.
In this case, we know that the length of the chord is 24 meters, and the distance between the chord and the center of the circle is 5 meters. Therefore:
```
r = sqrt((24/2)^2 + 5^2)
r = sqrt(12^2 + 25)
r = sqrt(144 + 25)
r = sqrt(169)
r = 13
```
Therefore, the radius of the circle is 13 meters.