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
Jump to: navigation, search
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...

...Name
LESSON
Date
Class
Reteach
Developing Formulas for Circles and Regular Polygons
Circumference and Area of Circles
9-2
A circle with diameter d and radius r has circumference C d or C 2 r. A circle with radius r has area A
2 r .
Find the circumference of circle S in which A Step 1 Use the given area to solve for r. A 81 cm
2
2 81 cm .
r2 r r2 r
2
Area of a circle Substitute 81 for A. Divide both sides by . Take the square root of both sides....

...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. Another...

...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. |...

...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....

...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...