The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.

A

$$\frac{6600}{18}$$ cm$$^2$$

B

$$\frac{6600}{7}$$ cm$$^2$$

C

$$\frac{6600}{14}$$ cm$$^2$$

D

$$\frac{6600}{9}$$ cm$$^2$$