Area of a Sector in Radians.

Hi, I need some help with the following two problems:

1.) Find an exact value for the fraction of the sector represented by the triangle AOB in the sector AOB in the diagram.

http://img216.imageshack.us/img216/2715/21950781.jpg

The answer is supposedly 3√3/2π.

2). The area of the sector AOB and the triangle AOB are at a ratio of 3:2.

The angle AOB is in radians.

Show that 2θ-3sinθ=0.

http://img197.imageshack.us/img197/4268/70433372.jpg

I have managed to get:

3=½r²θ and 2=½r²sinθ

Therefore:

½r²θ-3=0 and ½r²sinθ-2=0

But I'm unsure where to go from there.

Any help would be appreciated. Thanks very much.