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.
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.
I have managed to get:
3=½r²θ and 2=½r²sinθ
½r²θ-3=0 and ½r²sinθ-2=0
But I'm unsure where to go from there.
Any help would be appreciated. Thanks very much.