The diagram below shows the circular face of a clock with radius 20 \mathrm{~cm} and a circular disk with radius 10 \mathrm{~cm} externally tangent to the clock face at 12 o’clock. The disk has an arrow painted on it, initially pointing in the upward vertical direction. Let the disk roll clockwise around the clock face. At what point on the clock face will the disk be tangent when the arrow is next pointing in the upward vertical direction?

**Answer Choices**

A. 2 o’clock

B. 3 o'clock

C. 4 o'clock

D. 6 o'clock

E. 8 o'clock