Problem

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

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All three have the same side length because they are inscribed in the same circle.

In the same circle, the regular hexagon has the longest side because it has the most sides.

In the same circle, the equilateral triangle has 60° central angles, the square has 90° central angles, and the regular hexagon has 120° central angles, so side lengths go from shortest to longest: triangle, square, hexagon.

In the same circle, the regular hexagon has 60° central angles, the square has 90° central angles, and the equilateral triangle has 120° central angles, so side lengths go from shortest to longest: hexagon, square, triangle.

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

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