Ads
related to: internal angle of a simple polygon worksheet 6th
Search results
Results from the WOW.Com Content Network
If every internal angle of a simple polygon is less than a straight angle (π radians or 180°), then the polygon is called convex. In contrast, an external angle (also called a turning angle or exterior angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side. [1]: pp. 261–264
The internal angle of a simple polygon, at one of its vertices, is the angle spanned by the interior of the polygon at that vertex. A vertex is convex if its internal angle is less than (a straight angle, 180°) and concave if the internal angle is greater than .
In geometry, a hexagon (from Greek ἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon. [1] The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
As n approaches infinity, the internal angle approaches 180 degrees. For a regular polygon with 10,000 sides (a myriagon) the internal angle is 179.964°. As the number of sides increases, the internal angle can come very close to 180°, and the shape of the polygon approaches that of a circle. However the polygon can never become a circle.
Interior angle – The sum of the interior angles of a simple n-gon is (n − 2) × π radians or (n − 2) × 180 degrees. This is because any simple n -gon ( having n sides ) can be considered to be made up of ( n − 2) triangles, each of which has an angle sum of π radians or 180 degrees.
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon's interior angles is 3960 degrees. The sum of any icositetragon's interior angles is 3960 degrees.
The regular 65537-gon (one with all sides equal and all angles equal) is of interest for being a constructible polygon: that is, it can be constructed using a compass and an unmarked straightedge. This is because 65,537 is a Fermat prime , being of the form 2 2 n + 1 (in this case n = 4).
A regular icositrigon has internal angles of degrees, with an area of = = , where is side length and is the inradius, or apothem. The regular icositrigon is not constructible with a compass and straightedge or angle trisection , [ 1 ] on account of the number 23 being neither a Fermat nor Pierpont prime .
Ads
related to: internal angle of a simple polygon worksheet 6th