In a circle of radius 3 cm, two chords of length 2 cm and 3 cm lie on the same side of a
diameter. What is the perpendicular distance between the two chords?

A

$$\frac{4\sqrt{3} - 3\sqrt{2}}{2}$$ cm

B

$$\frac{4\sqrt{2} - 3\sqrt{3}}{2}$$ cm

C

$$\frac{4\sqrt{2} - 3\sqrt{3}}{3}$$ cm

D

$$\frac{4\sqrt{2} - 3\sqrt{3}}{4}$$ cm