Intercepted Arc
An intercepted arc is created when segments (chords, secants, etc..) intersect a part of the circle. These segments in effect 'intercept' parts of the circle. The picture below shows examples of intercepted arcs.
Note: The examples below use chords to create the intercepted arc. However, tangents, secants can also create intercepted arcs.
![picture of inercepted arcs](images/arcs/picture-intercepted-arc.gif)