Explore! Chords
Circle A below has a chord DE. Adjust the length and position of DE by dragging E and F.
1. Move EF so it does not pass through the center (A). Change the radius of the circle using the slider. What happens to the length of EF? Does its position relative to the center change?
2. Can you make EF equal to CD? What do you have to do to make them equal?
3. Where are E and F relative to one another when the length of EF is very small? Where are they when the length of EF is very large?