Problem 82 of 7
Explain why six radius-length chords in circle circle R form a regular hexagon.
Using a hint is okay. It just tells the trainer to give you a little more review.
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connect equal radii to equilateral triangles and equal sides.
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Explanation must connect radius-length chords to equal sides and central angles.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Connect each chord to two radii of the circle.
2. Show that each small triangle has equal sides.
3. Six equal central angles produce six equal sides around the circle.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying regular because the drawing looks symmetric.