Relating Chords to Their Arcs

Relating Chords to Their Arcs

Observe how the length of a chord relates to the measure of its arc.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Question ouverte 1

Based on your observations, is it possible for two congruent chords to intercept minor arcs of different sizes?

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Question ouverte 2

Based on your observations, is it possible for two congruent minor arcs to intercept chords of different sizes?

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Question ouverte 3

As you make a chord longer, does the minor arc length increase or decrease?

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Question ouverte 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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