What is a polygon in math definition?

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). A polygon with all sides equal is equilateral.

What is polygon shape definition?

A polygon is a closed shape with straight sides. Rectangles, triangles, hexagons, and octagons are all examples of polygons. The word polygon comes from the Greeks, like most terms in geometry, which they invented. It simply means many (poly) angles (gon).

What is polygon define with example?

A polygon is a two-dimensional geometric figure that has a finite number of sides. 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.

What is a regular polygon simple definition?

In Euclidean geometry: Regular polygons. A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

What do you call a six-sided polygon?

In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “corner, angle”) is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

How do you describe a polygon?

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides. Polygons can be of two types: Regular Polygons – Polygons that have equal sides and angles are regular polygons.

What is a shape that is not a polygon?

Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides. Circles and shapes that include curves are not polygons – a polygon, by definition, is made up of straight lines. See our pages on circles and curved shapes for more.

What is the formula for polygon?

Polygon Formula The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.

What type of shape is a polygon?

A polygon is a flat, two-dimensional (2D) shape with straight sides that is fully closed (all the sides are joined up). The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.

What is the formula of a regular polygon?

In terms of the perimeter of a regular polygon, the area of a regular polygon is given as, Area = (Perimeter × apothem)/2, in which perimeter = number of sides × length of one side….Area of Regular Polygons.

What is a 19 sided shape called?

enneadecagon
In geometry, an enneadecagon, enneakaidecagon, nonadecagon or 19-gon is a polygon with nineteen sides.

What is a 200 sided shape called?

dihectogon
What is the name of a polygon with…?

Which polygon has the most sides?

Types Of Regular Polygons A triangle that has all sides and angles the same is called an equilateral triangle, or regular triangle. A quadrilateral that has all sides and angles the same is called a square, or regular quadrilateral. A pentagon that has all sides and angles the same is known as a regular pentagon.

What is difference between a polygon and plane figure?

Many of these shapes are two-dimensional plane figures. Plane figures are flat. They can be closed or not closed. Plane figures made up of three or more closed line segments are polygons. Each line segment of a polygon is a side. Polygons are classified by the number of sides. A triangle has three sides. There are different kinds of triangles.

What does a polygon have to have to be a polygon?

A regular polygon is a polygon which is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star(complex). These properties apply to both convex and a star regular polygons.

What are all the polygons names?

In geometry, the polygon is the shapes. The number of shapes is available in polygon. The names are triangle, quadrilateral, heptagon, hexagon, pentagon, octagon, nonagon, decagon etc.