[填空题]
$\text { The app logo, for a mobile arcade game, is a sector of a circle of radius } 3 \mathrm{~cm} \text {, shown as shaded in the diagram below. The area of the logo is } 6 \pi \mathrm{cm}^{2} \text {. }$
1. Find, in radians, the measure of the angle AOB.
2. Find the total length of the perimeter of the logo.