Define Convex Polygon

Author: mathqa22

In polygon comprise no reflex angle, followed in it is made-up to be a convex polygon. Polygon is a plane, that type to be restricted in a closed path, composed of a restricted series of directly line element by a closed polygonal series. Now we study about define convex polygon.

Using online polygon is a plane type to be restricted in a closed path, composed of a restricted series of directly line element by a closed polygonal series.

Define convex polygon:

A polygon is absolutely convex if every interior position is definitely less than 180 quantities. Commonly, a polygon is definitely convex if each line division by two noncontiguous vertices of the polygon is exactingly internal to the polygon however on its endpoints. Each non part triangle is definitely convex.

A polygon is a 2-dimensional instance of the more general polytope in several quantities of proportions. The internal of the polygon is recognized its group. These fraction are known its edges, with the points where two edges obtain together are the polygon's curve.

Commonly, a polygon is definitely convex if each line division by two noncontiguous vertices of the polygon is exactingly internal to the polygon however on its endpoints

Properties of convex polygon:

A convex polygon is an easy that's within is a convex set. The properties of an easy polygon are all equal to convexity:

Each one interior angle is less than 180 degree.

Each one line segment among two vertices remains inside or on the maximum of the polygon.

Examples for define convex polygon:

Example 1 for define convex polygon:

How to solve area of the polygon learning the sides are (6,3) (9,3)(7,5)

area of the polygon learning the sides are (6,3) (9,3)(7,5)

Solution:

Step 1: the given sides are (6,3) (9,3)(7,5)

Step 2: A =     1/2((x_1y_2-x_2y_1)+(x_2y_3-x_3y_2)+.......(x_ny_1-x_1y_n))

Step 3: x1=6, y1=3, x2=9, y2=3, x3=7, y3=5,

Step 4:     A =1/2(18+45+35)-(27+21+30)

Step 5:         so area is A =10

Example 2 for define convex polygon:

How to solve area of the polygon learning the sides are (7,2) (7,4) (6,5)

area of the polygon learning the sides are (7,2) (7,4) (6,5)

Solution:

Step 1: the given sides are (7,2) (7,4) (6,5)

Step 2: A =     1/2((x_1y_2-x_2y_1)+(x_2y_3-x_3y_2)+.......(x_ny_1-x_1y_n))

Step 3: x1=7, y1=2, x2=7, y2=4, x3=6, y3=5,

Step 4:      A =1/2(28+35+12)-(14+24+35)

Step 5: so area is A =1

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Example 3 for define convex polygon:

How to solve area of the polygon and  prepare the sides are (7,6)(6,4)(6,2)

area of the polygon and prepare the sides are (7,6)(6,4)(6,2)

Solution:

Step 1: the given sides are (7,6)(6,4)(6,2)

Step 2: A = 1/2((x_1y_2-x_2y_1)+(x_2y_3-x_3y_2)+.......(x_ny_1-x_1y_n))

Step 3: x1=7, y1=6, x2=6, y2= 4, x3=6, y3=2,

Step 4:    A =1/2(28+12+36)-(36+24+14)

Step 5:         so area is A = 1

Normally in geometry polygon mean a plane figure which is closed by a line. Here we are going to learn about name of all polygons. We will name the polygons based on their number of sides. We will see the name of the polygons.  Totally we are having three types of polygons that are regular, irregular and equilateral polygons.

Name of all polygons:

Here we are going to name all the polygons based on their number of sides.

If any polygons having 3 sides we can say it is Triangle.

If a polygons with 4 sides we will say it is a Quadrilateral.

If a polygon is having 5 sides it is known as Pentagon.

If a polygon is having 6 sides it is known as Hexagon.

If a polygon is having the number of sides 7 then we can say it is Heptagon.

If any polygon is having the number of sides 8 then we can say it is Octagon.

If a polygon is having the number of sides 9 it is known as Enneagon or Nonagon.

If any polygon is having the number of sides 10 it is known as Decagon.

Name of all polygons: Sides above 10

If the number of sides is 11 then it is known as Hendecagon.

If the number of sides is 12 then it is known as Dodecagon.

If the number of sides is 13 then it is Tridecagon.

If the number of sides is 14 then it is known as Tetdradecagon.

If the number of sides is 15 is known as pentadecagon.

If the number of sides is 16 then it is known as Hexadecagon.

The number of sides of the polygon is 17 it is known as Heptadecagon.

The number of sides is 18 then we can say it is a Octadecagon.

The number of sides is 19 then we can say it is a Enneadecagon.

The number of sides is 20 then we can say it is a Icosagon.

Number of sidesName of the polygon

20Icosagon

30Triacontagon

40Tetracontagon

50Pentacontagon

60Hexacontagon

70Heptaconatagon

80Octacontagon

90Enneacontagon

100Hectagon

1000Chiliagon

10000Myriagon

1000000Hecatommyriagon

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