WARNING: It's been a while since I've done this.
The length of the arc isn't too complicated, but you're going to have to use radians.
<img src="
http://img509.imageshack.us/img509/3372 ... etahu4.png">
S is the length of the arc, r is the radius, and theta
(the 0 with a little squiggle in it, if you never saw it before) is the measure of the angle in radians. (You can't use this formula when the angle is expressed in degrees.)
Let's say for this example we have a circle with a 10 inch radius and the angle is 120 degrees. Start by converting 120 degrees to X radians. Multiply 120 by π/180. (Pi over 180; don't divide 3.14159... by 180 yet.) It's easiest if you simplify as much as possible and still have whole numbers.
<img src="
http://img525.imageshack.us/img525/7489 ... ifyjp3.png">
Now we can start to use the equation above. We know that the radius is 10 and the angle in radians is 2π/3 . All that's left to do is plug and grind.
<img src="
http://img525.imageshack.us/img525/3416 ... werrm9.png">
The final answer is approximately 20.94 inches. (It's not exact because we didn't use all eleventy-billion digits of Pi.)
Hope you can read my chicken-scratch.

That should get you through #7.