try using the scissor tool... select the circle, make sure it's sitting above the lines of intersection. Select the scissor tool, it's under the knife tool I think, anyway it's a pair of sissors. position the sissors over the intersection and click it to ad a node. Do the same for the other side and then simply select the unwanted portion and delete.
If that doesn't work - take two asprin and call me in the morning.. LOL!.. I hope this helps!
Here is another way...
Create a circle
create a line that falls across the circle
rotate and copy the line at 14 degree increments
Use the pathfinder>divide
ungroup the circle
select unwanted pie shapes and delete (you should be left with a single pie shape)
use the point seletion tool and drag select the point you don't want and delete it (drag selecting will select two points, clicking on the point will select only one and will require repeating the process)
You should be left with a 14 degree arc...
Just an addition to the first post: Smart Guides are your friend.
thanks Arty, that worked perfectly!