Question

ecain what is polygon ?​

Answer 1

$\huge\star\pink{answer}$

In geometry, a polygon (/ˈpɒlɪɡɒn/) is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). ... An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself.

Step-by-step explanation:

$\huge\star\red{i_hope_it_helps}$

Answer 2

$\huge\fcolorbox{cyan}{black}{\color{blue}{★ANSWER★}}$

▶️A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. The line segments of a polygon are called sides or edges. The point where two line segments meet is called vertex or corners, henceforth an angle is formed.

☑️An example of a polygon is a triangle with three sides.

▶️A circle is also a plane figure but it is not considered as a polygon, because it is a curved shape and does not have sides or angles. ☑️Therefore, we can say, all the polygons are 2d shapes but not all the two-dimensional figures are polygon's.

$\huge\fcolorbox{cyan}{black}{\color{blue}{★EXPLANATION★}}$

${\underline{\green{❥What are polygon's}}}$

⭐A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).

⭐A minimum of three line segments is required to connect end to end, to make a closed figure. Thus a polygon with a minimum of three sides is known as Triangle and it is also called 3-gon. An n-sided polygon is called n-gon.

$\tt\red{Polygon shape:-}$

✨By definition, we know that the polygon is made up of line segments. Below are the shapes of some polygons that are enclosed by the different number of line segments.

$\huge\mathcal\orange{Polygon Types:-}$

•••••Types of Polygon•••••

☑️Depending on the sides and angles, the polygons are classified into different types, namely:

${\underline{\green{❥regular polygon}}}$

${\underline{\green{❥regular polygon}}}$

${\underline{\green{convex polygon}}}$

${\underline{\green{❥concave polygon}}}$

Regular Polygon:-

☑️If all the sides and interior angles of the polygon are equal, then it is known as a regular polygon. The examples of regular polygons are square, rhombus, equilateral triangle, etc.

Irregular Polygon:-

☑️If all the sides and the interior angles of the polygon are of different measure, then it is known as an irregular polygon. For example, a scalene triangle, a rectangle, a kite, etc.

Convex Polygon:-

☑️If all the interior angles of a polygon are strictly less than 180 degrees, then it is known as a convex polygon. The vertex will point outwards from the centre of the shape.

Concave Polygon:-

☑️If one or more interior angles of a polygon are more than 180 degrees, then it is known as a concave polygon. A concave polygon can have at least four sides. The vertex points towards the inside of the polygon.

☑️However, a number of polygons are defined based on the number of sides, angles and their properties. Let us see one of the frequently used and the primary type of polygon, i.e. triangle.

Angles of Polygon:-

☑️As we know, any polygon has as many vertices as it has sides. Each corner has a certain measure of angles. These angles are categorized into two types namely interior angles and exterior angles of a polygon.

Interior Angle Property:-

☑️The sum of all the interior angles of a simple n-gon = (n − 2) × 180°

Or

✨Sum = (n − 2)π radians

✨Where ‘n’ is equal to the number of sides of a polygon.

▶️For example, a quadrilateral has four sides, therefore, the sum of all the interior angle is given by:

▶️Sum of interior angles of 4-sided polygon = (4 – 2) × 180°

▶️= 2 × 180°

▶️= 360°