Problem

Use the displayed polygons inscribed in equal-radius circles. Compare their central angles and side lengths.

Clean source or partial regular-polygon construction without the requested conclusion.

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Because both are inscribed in the same circle, the regular hexagon has 120-degree central angles and the equilateral triangle has 60-degree central angles, so the hexagon’s side is longer than the triangle’s.

Because both are inscribed in the same circle, their sides must be the same length since each side is made from the same radius of the circle.

Because both are inscribed in the same circle, the regular hexagon has 60-degree central angles and side length equal to the radius, while the equilateral triangle has 120-degree central angles, so the triangle’s side is longer because it spans two hexagon steps.

Because both are inscribed in the same circle, the regular hexagon has 60-degree central angles and the equilateral triangle has 120-degree central angles, so the triangle’s side is shorter because it skips over hexagon vertices.

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Use the displayed polygons inscribed in equal-radius circles. Compare their central angles and side lengths.

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