nsPOLYGONS
A closed plane figure made up of several line segments that are joined together. The sides do not cross each other. Exactly two sides meet at every vertex. Types of Polygons

Regular - all angles are equal and all sides are the same length. Regular polygons are both equiangular and equilateral. Equiangular - all angles are equal.
Equilateral - all sides are the same length.
| Convex - a straight line drawn through a convex polygoncrosses at most two sides. Every interior angle is less than 180°.| | Concave - you can draw at least one straight line through a concave polygon that crosses more than two sides. At least one interior angle is more than 180°.| Polygon Formulas

(N = # of sides and S = length from center to a corner)
Area of a regular polygon = (1/2) N sin(360°/N) S2
Sum of the interior angles of a polygon = (N - 2) x 180°
The number of diagonals in a polygon = 1/2 N(N-3)
The number of triangles (when you draw all the diagonals from one vertex) in a polygon = (N - 2)

Polygon Parts
| Side - one of the line segments that make up the polygon.Vertex - point where two sides meet. Two or more of these points are called vertices.Diagonal - a line connecting two vertices that isn't a side.Interior Angle - Angle formed by two adjacent sides inside the polygon.Exterior Angle - Angle formed by two adjacent sides outside the polygon.| Special Polygons

Special Quadrilaterals - square, rhombus, parallelogram, rectangle, and the trapezoid. Special Triangles - right, equilateral, isosceles, scalene, acute, obtuse. Polygon Names

Generally accepted names
Sides| Name|
n| N-gon|
3| Triangle|
4| Quadrilateral|
5| Pentagon|
6| Hexagon|
7| Heptagon|
8| Octagon|
10| Decagon|
12| Dodecagon|
Names for other polygons have been proposed.
Sides| Name|
9| Nonagon, Enneagon|
11| Undecagon, Hendecagon|
13| Tridecagon, Triskaidecagon|
14| Tetradecagon, Tetrakaidecagon|
15|...

...Polygon
From Wikipedia, the free encyclopedia
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For other uses, see Polygon (disambiguation).
Some polygons of different kinds
In geometry a polygon ( /ˈpɒlɪɡɒn/) is a flat shape consisting of straight lines that are joined to form a closed chain or circuit.
A polygon is traditionally a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain). These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. An n-gon is a polygon with n sides. The interior of the polygon is sometimes called its body. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions.
The word "polygon" derives from the Greek πολύς (polús) "much", "many" and γωνία (gōnía) "corner" or "angle". (The word γόνυ gónu, with a short o, is unrelated and means "knee".) Today a polygon is more usually understood in terms of sides.
The basic geometrical notion has been adapted in various ways to suit particular purposes. Mathematicians are often concerned only with the closed polygonal chain and with simple polygons which do not self-intersect, and may define a polygon accordingly. Geometrically two edges meeting at a...

...Polygons in our life
The importance of polygons would probably relate to the variety of polygon shape often used in the building of modern structures. The triangle, for instance, is often used in construction because its shape makes it comparatively strong. The use of the polygon shape reduces the quantity of materials needed to make a structure, so essentially reduces costs and maximizes profits in a business environment. Anotherpolygon is the rectangle. The rectangle is used in a number of applications, due to the fact our field of vision broadly consists of a rectangle shape. For instance, most televisions are rectangles to allow for easy and comfortable viewing. The same can be said for photo frames and mobile phones screens.
* What is a polygon?
A polygon is a shape that consists only of straight edges. Common examples of polygons include the hexagon, the triangle and the octagon. Each of these shapes has a given number of sides - although a shape with straight sides will always be a polygon, regardless of the number of edges. One special case of the polygon is the regular polygon. A regular polygon consists of sides that are all exactly the same in length. Despite many believed a circle is a polygon, it is not. Due to the curved nature of the circle it is in fact classed as...

...Polygon names |
Name | Edges | Remarks |
henagon (or monogon) | 1 | In the Euclidean plane, degenerates to a closed curve with a single vertex point on it. |
digon | 2 | In the Euclidean plane, degenerates to a closed curve with two vertex points on it. |
triangle (or trigon) | 3 | The simplest polygon which can exist in the Euclidean plane. |
quadrilateral (or quadrangle or tetragon) | 4 | The simplest polygon which can cross itself. |
pentagon | 5 | The simplest polygon which can exist as a regular star. A star pentagon is known as a pentagram or pentacle. |
hexagon | 6 | Avoid "sexagon" = Latin [sex-] + Greek. |
heptagon | 7 | Avoid "septagon" = Latin [sept-] + Greek. The simplest polygon such that the regular form is not constructible with compass and straightedge. However, it can be constructed using a Neusis construction. |
octagon | 8 | |
enneagon or nonagon | 9 | "Nonagon" is commonly used but mixes Latin [novem = 9] with Greek. Some modern authors prefer "enneagon", which is pure Greek. |
decagon | 10 | |
hendecagon | 11 | Avoid "undecagon" = Latin [un-] + Greek. The simplest polygon such that the regular form cannot be constructed with compass, straightedge, and angle trisector. |
dodecagon | 12 | Avoid "duodecagon" = Latin [duo-] + Greek. |
tridecagon (or triskaidecagon) | 13 | |
tetradecagon (or tetrakaidecagon) | 14 | |
pentadecagon (or...

...FREQUENCY POLYGONS
W H AT I S A F R E Q U E N C Y P O LY G O N
Frequency polygons are a graphical device for
understanding the shapes of distributions. They
serve the same purpose as histograms, but are
especially helpful for comparing sets of data.
Frequency polygons are also a good choice for
displaying cumulative frequency distributions.
H O W T O C R E AT E A F R E Q U E N C Y
P O LY G O N
To create a frequency polygon, start just as for histograms, by
choosing a class interval. Then draw an X-axis representing the
values of the scores in your data. Mark the middle of each class
interval with a tick mark, and label it with the middle value represented
by the class. Draw the Y-axis to indicate the frequency of each class. Place
a point in the middle of each class interval at the height corresponding to
its frequency. Finally, connect the points. You should include one class
interval below the lowest value in your data and one above the highest
value. The graph will then touch the X-axis on both sides.
E X A M P L E O F A F R E Q U E N C Y TA B L E
Lower
Limit
Upper
limit
Count
Cumulativ
e
29.5
39.5
0
0
39.5
49.5
3
3
49.5
59.5
10
13
59.5
69.5
53
66
69.5
79.5
107
173
79.5
89.5
147
320
89.5
99.5
130
450
EXA MP L E OF A FREQ UENCY
P O LY G O N
F R E Q U E N C Y P O LY G O N S F O R
G R O U P E D D ATA
A Frequency Polygon can be uses to represent a
frequency...

...Abstract
Static equilibrium of forces was investigated through the use of different weights attached to cords which were connected to a central ring, while pulleys supported them. This assembly facilitated the force band system to demonstrate that equilibrium will be attaining regardless of disturbances. However, due to errors in the experiment, the sum of the x and y component did equate to zero as predicted. The graphical solution of the experiment yield a polygon that is completed indicating that all the forces are in equilibrium while the analytical solution indicates a resultant force of 0.088N ± 0.181.
Contents
Abstract 2
Nomenclature 4
Objective 5
Introduction/theory 5
Apparatus 6
Diagram 7
Procedure 8
Result 8
Calculation/Equations Used: 9
Discussion 11
Conclusion 11
Recommendation 12
Reference 13
Appendix B 14
Appendix C 15
Table 1: Showing symbols and meanings used in the experiment. 4
Table 2: Result obtained from the experiment conducted. 9
Table 3: Result obtained from uncertainty calculations 9
Figure 1: Coplanar force system 6
Figure 2: Showing assembled apparatus 7
Nomenclature
|Symbols |Meaning |
|G |Gravity constant...