So to start off, I already graphed the system of inequalities on the set of axes, I as well found the coordinates of the points of intersection algebraically. But I am now at a loss, I do not understand how to do the following problems, I'm a little rusty on Chords(I believe thats what this is called) so any help is appreciated. In any case, here is the problem:

Graph the following system of inequalities on the same set of axes:

Now I just need to do the following:

Calculate AB

Calculate the length of arc AB

Calculate the area of the shaded region

However I do not know how, and as I stated earlier any help is appreciated, please and thank you!