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Polygon facts & stats

7 fact-checked facts about polygons, each with the reason behind it. 5 more are in today's round and join this page after it closes.

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The basics

How many sides does a hexagon have?

Answer6

A hexagon has six sides and six angles; 'hex' is Greek for six.

What is a polygon with all sides equal and all angles equal called?

AnswerA regular polygon

Regular polygons, like squares and equilateral triangles, have equal sides and equal angles.

Going deeper

What is the sum of the interior angles of a pentagon?

Answer540°

The interior angle sum is (n - 2) x 180°, so a pentagon totals 3 x 180° = 540°.

What does each interior angle of a regular hexagon measure?

Answer120°

A hexagon's angles total 720°, and 720° divided by 6 is 120°.

What is a polygon with at least one interior angle greater than 180° called?

AnswerConcave

A concave polygon has an inward 'dent' where an interior angle exceeds 180°.

Expert level

Which three regular polygons can tile a flat surface on their own with no gaps?

AnswerTriangles, squares and hexagons

Only angles that divide 360° evenly work: 60°, 90° and 120°, from triangles, squares and hexagons.

A regular polygon has interior angles of 140°. How many sides does it have?

Answer9

Each exterior angle is 180° - 140° = 40°, and 360° / 40° = 9 sides.

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