Problem 164 of 7
Compare an inscribed equilateral triangle and regular octagon in the same circle.
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reason about circle geometry relationships.
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Polygons must be compared in the same circle.
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Solution
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1. State that the polygons share the same circumradius.
2. Find or compare the central angles.
3. Use central angle size to compare chord side lengths.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming all inscribed polygons in the same circle have equal side lengths.