[填空题]
The following diagram s e(t vykdqgkqn-.d,1 6hows triangle Ah bjy* qbxq*iw)eowe2:(e 4w,BC and sector ACD of a circle with centre Coxjq(,iew )bw2eby*qh*w 4:e.
$\mathrm{AC}=5 \mathrm{~cm}, \mathrm{BC}=8 \mathrm{~cm} $, the area of triangle $\mathrm{ABC}=10 \sqrt{3} \mathrm{~cm}^{2}$ .
1. Find AĈB.
2. Find the exact area of sector ACD.