Question 1156833
Draw this.
The triangle formed by the line from the center to the chord. (perpendicular bisector) is 2 and the other leg (half the chord's length) is 3.  The radius is the hypotenuse and is sqrt(13) cm.

The other chord has leg 1 and hypotenuse sqrt(13)
so the other leg , half the chord, is sqrt (12) or 2 sqrt(3)
Length of the chord is 4 sqrt(3) cm.