I'm not sure if I did this is right, but here's the question:

http://i3.photobucket.com/albums/y62...calculus-1.jpg

Consider the shaded region outside the sector of a circle of radius 10 meters and inside a right triangle.

a) write the area A= f(θ) of the region as a function of θ.

My equation:f(θ)= 50θ -50 arctanθ

b) What is the domain of the function?

All real numbers.

c) Find lim (θ-->π/2-)A.

Infinity... why?

Thanks!