ACCESS - Circles and Central Angles 2
Angles BAC and DAE are central angles for circle A. Slider ca1 controls the size of angle BAC. Slider ca2 controls the size of angle DAE.
1. If an angle is larger, its arc is __________________.
2. Make DAE and BAC into congruent angles. Drag B and D so the arcs are aligned (on top of one another). If the angles are congruent, how are the arcs related? Try changing the angle lengths to make sure.
3. Can you make both arcs cover the entire circle without overlapping? What is the total of the central angles measures if they do? Is this always the case?
4. Can you make both arcs cover the entire circle without overlapping and have the central angles equal? What kind of angles and arcs do you form?