It is expressed in square units like, m2, cm2, ft2. Similarly, each polygon has a different formula depending on the number of sides and the type of polygon. To constitute a closed shape, a minimum of three-line segments is necessary. The general term for an n-sided Polygon is an n-gon.

## Exterior angle property

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## Real-life applications of polygons

It does not fulfill the criterion which can be used to identify a polygon. It is not made up of straight lines and it does not have an interior or exterior angle. Therefore, it can be said that a circle is not a polygon. The sides of a polygon define the name of the specific polygon because 6 best free or low-cost coinbase alternatives for 2020 different polygons have different number of sides. For example, if a polygon has 3 sides, then it is called a triangle, whereas, if a polygon has 4 sides, it is a quadrilateral. The following section shows the different types of polygons along with their names based on the number of sides.

- A simple polygon is one that does not intersect itself and has no holes.
- The other special case of a parallelogram is a special type of rectangle, a square.
- Similarly, each polygon has a different formula depending on the number of sides and the type of polygon.
- The most common examples of polygons are the triangle, the rectangle, and the square.
- A polygon is a two-dimensional geometric figure that has a finite number of sides.
- If all the polygon sides and interior angles are equal, then they are known as regular polygons.

## Types of Polygon with Their Properties

A simple polygon is the boundary of a region of the plane that is called a solid polygon. The interior of a solid polygon is its body, also known as a polygonal region or polygonal area. In contexts where one is concerned only with simple and solid polygons, a polygon may refer only to a simple polygon or to a solid polygon. In Mathematics, a polygon is a closed two-dimensional shape having straight line segments. Each side of the line segment must intersect with another line segment only at its endpoint.

## Properties and formulas

No, polygons have the same number of sides and angles because they are closed figures with non-intersecting lines. The following chart shows the naming convention of polygons on the basis of the number of sides that they have. Each polygon is given a special name on the basis of its number of sides. For example, the trigon, also known as the triangle is made of two words ‘tri’ which means three, and ‘gon’ means angles. This shows that it is a shape that has three angles. Observe the table given below to see the names of different polygons as per their number of sides.

Concave polygons are those polygons that have at least one interior angle which is a reflex angle and it points inwards. Concave polygons have a minimum of 4 sides and a few of the diagonals in a concave polygon may lie partly or fully outside it. It is to be noted that all concave polygons are irregular because the interior angles are not equal. Scalene triangle, quadrilaterals such as a rectangle, trapezoid or a kite, irregular pentagon, and hexagons are common examples of the irregular polygon.

The properties of polygons are based on their sides and angles. 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. 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 Regular polygon has all sides of equal length and each angle also measures equal.

The perimeter of a polygon is defined as the total length of the boundary of the polygon in a two-dimensional plane. The perimeter of polygons is expressed in units like centimeters, inches, feet, and so on. They are made of straight lines, and the shape is “closed” (all the lines connect up).

All of the above examples on this page are simple polygons. Note that the 5-, 6-, and 8-gon could also have been called a pentagon, hexagon, and octagon respectively. We named them as we did just to show that all polygons can be named as n-gon, where n is the number of sides. Every regular polygon with an even number of sides has pairs of parallel sides. Regular polygons have half as many parallel sides as the total number of sides. Yes, all triangles, by definition, are polygons with three sides.

The examples of regular polygons are square, equilateral triangle, etc. In regular polygons, not only are the sides congruent but so are the angles. The area of a polygon is defined as the measurement of space enclosed within a polygon. The area of polygons can be found by different formulas depending upon whether the polygon is a regular or an irregular polygon. For example, a triangle is a three-sided polygon which is known as a trigon. The formula for calculating the area of the trigon (triangle) is half the product of the base and height of the triangle.

For example, the shape of a honeycomb is a polygon with 6 sides and is known as a hexagon. Each polygon is different in structure and is categorized based on the number of sides and its properties. It should be noted that all polygons are closed plane shapes. A concave polygon is a polygon in which at least one interior angle measures greater than 180°. The following figure shows few concave polygon examples. The interior angles larger than 180° are marked with a red arc.

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A dart or an arrowhead in quadrilaterals, some irregular pentagon and hexagon are common examples of the concave polygon. Polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides). Whether the polygon is regular or irregular, at each vertex of the polygon sum of an interior angle and exterior angle is 180°.

Triangles, all convex quadrilaterals, regular pentagon, and regular hexagon are common examples of a convex polygon. If one or more interior angles of a polygon are more than 180 degrees, then it is known as a concave polygon. The vertex points towards the inside of the polygon. We can observe different types of polygons in our daily existence and we might be using them knowingly or unknowingly.

The count of interior angles corresponds to the number of sides in the polygon. There is unfortunately substantial disagreement over the definition of a polygon. A polygon is defined as a 2D plane figure that is made up of 3 or more connected line segments that form a closed shape. The minimum number of sides a polygon can have is three.

The total space enclosed by a polygon in a two-dimensional plane is defined as the area of a polygon. We write the unit of area of the polygon as square units such as (meters2 or centimeters2, etc.) or USCS units (inches or feet, etc). The polygons worksheets helps children recognize more shapes and patterns in real life.