BC and DE are chords on circle A. The dashed lines from A to the chords indicate the distance from the chords to the center of the circle. [br][br]Drag the points to adjust the chords. [br]1. Make BC and DE equal. How are their distances from the center related?[br]2. Make BC larger than DE. Is it closer to the center or farther from the center. [br]3. Slider r shows the radius of the circle. Try to get the distance from A of DE equal to the radius. Is DE large or small?[br]4. What is the furthest that DE or BC could be from A? How does this relate to r?[br]5. Adjust DE so that it is as long as possible. What is its distance from A? How is the length of DE related to r now?