Circles: Special Angles and Arcs in Circles

Angles made by Chords, Secants and Tangents (continued)

We just learned that when two lines intersect inside the circle, the angle at which they intersect can be found by taking one-half times the sum of the intercepted arcs.

Now let’s look at what happens when the lines intersect outside the circle.  When the lines intersect outside the circle, the angle at which they intersect will be one-half the difference of the intercepted arcs.

 

Tutorial Tutorial: Angles of Lines that Intersect Outside a Circle

It is important to be able to find the angle of intersection of lines that intersect outside a circle. Watch the following tutorial to learn how to do this. Select the play button to begin the tutorial, and then use the navigation buttons to pause/stop, continue, or reset the tutorial.  View the presentation as often as you would like, and take notes as you follow along.  Be sure to set your volume at a reasonable level before you begin.

Download the activity as a PDF.