Relating Chords to Their Arcs
Observe how the length of a chord relates to the measure of its arc.
Tâche 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Tâche 2
Based on your observations, is it possible for two congruent chords to intercept minor arcs of different sizes?
Tâche 3
Based on your observations, is it possible for two congruent minor arcs to intercept chords of different sizes?
Tâche 4
As you make a chord longer, does the minor arc length increase or decrease?
Tâche 5
The interactive above shows the case of a minor arc subtended by a chord. Think about what would happen if the major arcs were considered instead. Would your answers to the previous questions change? Please justify your answer for each case.