The length of the chord can be calculated using the formula `Length of chord = 2r * sin(θ/2)`, where `r` is the radius of the circle and `θ` is the angle subtended by the chord at the center of the circle.

Substituting the given values of `r = 3` and `θ = 68`, we get `Length of chord = 2 * 3 * sin(68/2) = 6 * sin(34) = 6 * 0.559 = 3.354 cm`.

Rounding this value to one decimal place, we get that the length of the chord is approximately `3.4 cm.