Relating Chords to Their Arcs
Relating Chords to Their Arcs
Observe how the length of a chord relates to the measure of its arc.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
Based on your observations, is it possible for two congruent chords to intercept minor arcs of different sizes?
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Open-ended question 2
Based on your observations, is it possible for two congruent minor arcs to intercept chords of different sizes?
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Open-ended question 3
As you make a chord longer, does the minor arc length increase or decrease?
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Open-ended question 4
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.
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