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| Generally, the word '''polygon''' is used to refer to a two-dimensional figure that encloses an area | |||
| Generally, the word '''polygon''' is used to refer to a two dimensional figure that encloses an area using straight lines. Regular polygons have sides that are of equal length and have equal ] between each side. ]s have at least one internal angle that is greater than 180°, whereas convex polygons have all internal angles less than 180°. A cyclic polygon has all of its vertexes lying on the same circle. A polygon can belong to several classifications simultaneously; a square is a regular, convex, cyclic polygon, for example. | |||
| using straight lines. | |||
| Regular polygons have sides that are of equal length and have equal ] between each side. | |||
| ]s have at least one internal angle that is greater than 180°, | |||
| ⚫ | |||
| whereas convex polygons have all internal angles less than 180°. | |||
| A cyclic polygon has all of its vertexes lying on the same circle. | |||
| A polygon can belong to several classifications simultaneously; a square is a regular convex | |||
| cyclic polygon, for example. | |||
| ⚫ | "Poly-" is from the ] word for "many" and "-gon" is a Greek combining | ||
| form meaning "angle". | |||
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| Any polygon, regular or irregular, has as many angles as it has sides, and the sum of its angles | |||
| <p> | |||
| is equal to (''s''-2)×180°, where ''s'' is the number of its sides (assuming ]). | |||
| /Talk | /Talk | ||
Revision as of 18:10, 27 December 2001
Generally, the word polygon is used to refer to a two-dimensional figure that encloses an area
using straight lines.
Regular polygons have sides that are of equal length and have equal angles between each side.
Concave polygons have at least one internal angle that is greater than 180°,
whereas convex polygons have all internal angles less than 180°.
A cyclic polygon has all of its vertexes lying on the same circle.
A polygon can belong to several classifications simultaneously; a square is a regular convex
cyclic polygon, for example.
"Poly-" is from the Greek word for "many" and "-gon" is a Greek combining
form meaning "angle".
Regular Polygons
| Name | Sides | Angle* |
|---|---|---|
| Triangle | 3 | 60° |
| Square | 4 | 90° |
| Pentagon | 5 | 108° |
| Hexagon | 6 | 120° |
| Septagon | 7 | 128.57° (approx.) |
| Octagon | 8 | 135° |
| Nonagon | 9 | 140° |
| Decagon | 10 | 144° |
| Hectagon | 100 | 176.4° |
| Megagon | 10 | 179.99964° |
| Googolgon | 10 | 180° (approx.) |
* Angle = 180° - 360°/Sides
Any polygon, regular or irregular, has as many angles as it has sides, and the sum of its angles
is equal to (s-2)×180°, where s is the number of its sides (assuming Euclidean geometry).
/Talk