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Polygon
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In geometry, a plane (two-dimensional) figure with three or more straight-line sides. Regular polygons have sides of the same length, and all the exterior angles are equal. Common polygons have names that define the number of sides (for example, triangle (3), quadrilateral (4), pentagon (5), hexagon (6), heptagon (7), octagon (8), and so on). These are all convex polygons, having no interior angle greater than 180°.
Sum of internal angles
The sum of the internal angles of a polygon having n sides is given by the formula 180° × (n - 2). For example:
In this case (a hexagon), there are 6 sides. The sum of the interior angles equals:
Therefore, the more sides a polygon has, the larger the sum of its internal angles and, in the case of a convex polygon, the more closely it approximates to a circle.
See also lines of symmetry.
© Research Machines plc 2008. All rights reserved. Helicon Publishing is a division of Research Machines plc.
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chord (geometry)
circle
circle theorem
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cosine
cross-section
cube (geometry)
cuboid
cylinder (geometry)
elevation, angle of
geometry
hexagon
octagon
parallelogram
pentagon
polygon
prism (mathematics)
pyramid (geometry)
Pythagoras' theorem
quadrant
quadrilateral
radius (mathematics)
rectangle
rhombus
sector (mathematics)
similar
similar triangles
sine
sphere
square
tangent (circle)
tangent (trigonometry)
tetrahedron
three-dimensional
trapezium
triangle (geometry)
trigonometry
two-dimensional
chord (geometry)
circle
circle theorem
circumference
cone (geometry)
congruent
cosine
cross-section
cube (geometry)
cuboid
cylinder (geometry)
elevation, angle of
geometry
hexagon
octagon
parallelogram
pentagon
polygon
prism (mathematics)
pyramid (geometry)
Pythagoras' theorem
quadrant
quadrilateral
radius (mathematics)
rectangle
rhombus
sector (mathematics)
similar
similar triangles
sine
sphere
square
tangent (circle)
tangent (trigonometry)
tetrahedron
three-dimensional
trapezium
triangle (geometry)
trigonometry
two-dimensional
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