Have friend heard about a polygon? Well, polygons are all about us! most of the common shapes the you check out or research every day room polygons. You view a wall, i beg your pardon is rectangular in shape, is a polygon.

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A front view of a dice, which has a square shape, is a polygon. A pizza part is triangular in shape, hence, a polygon. 

In this article, you will learn:

What polygon are, and how do they look like.The different types of polygons.

What is a Polygon?

In mathematics, a polygon is a close up door two-dimensional figure consisted of of line segments however not curves. The ax polygon originates indigenous the Greek indigenous “poly -” an interpretation “many” and also “- gon,” an interpretation “angles.”

The most common examples that polygons space the triangle, the rectangle, and the square. In an easy words, polygons are plain numbers or shapes comprised of heat segments only.

Note: Circles, three-dimensional objects, any kind of shapes that incorporate curves, and also any forms that aren’t closed space not polygons.

Polygons were well-known to humans since ancient times. Greeks studied non-convex consistent polygon in 7th century BC ~ above a krater by Aristophanes. Thomas Bradwardine was the an initial known person to examine non-convex polygon in the 14th century. The ide of polygon was generalized in 1952 through Geoffrey Colin.

Now that you have understood what a polygon is let us explore the different polygons and how lock look.

Types of Polygons

Depending on the sides and angles, the polygons space classified into various types, namely,

Regular PolygonIrregular PolygonConvex PolygonConcave polygon

Regular Polygon

A constant polygon is a polygon in which all the interior angles are equal, and also also, all the sides room equal. There room different varieties of constant polygons.

These are:

A triangle: An it is intended triangle is a continuous polygon with 3 equal next lengths and also three same angles.

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The following are a couple of mnemonics to assist remember the surname of part polygons:

A QuadBike has actually 4 wheels and thus a quadrilateral.The Washington DC in the US has actually 5 political parties (Pentagon).A Honeycomb has actually 6 sides (Hexagon).Septagon has actually 7 sides (Seven).An Octopus has actually 8 tentacles (octagon).The state Nonagon and also Nine both start with the letter N.A Decagon has actually 10 sides, similar to a Decimal suggest has 10 digits.

Real-life applications that polygons

Understanding shapes is crucial in geometry. Shapes have actually a large application in real-life applications.

For example:

The tiles that you go on are squared in shape, which implies that they room polygons.The truss the a building or bridge, the wall surfaces of a building, etc., are instances of polygons. Trusses space triangular in shape, while walls are rectangle-shaped shaped.The rectangular part of a chair on which you space sitting is an example of a polygon.The rectangular-shaped display screen of your laptop, television, or mobile call is an example of a polygon.A rectangular football key or playground is an instance of a polygon.The Bermuda Triangle, i m sorry is a triangle shape, is a polygon.The Pyramids the Egypt are likewise an instance of polygon (triangular)Star-shaped numbers are instances of a polygon.Road indications are additionally an instance of polygons.

Example

John has a rectangular item of paper. He desires to reduced the record so the he gets two much more polygons (other than a rectangle) of the same size and also shape. Indicate the possible ways.

Solution

There are two possible ways to cut a rectangular piece of document in together a method that he it s okay two an ext polygons (other than a rectangle) that the very same size and shape:

He can reduced a rectangular piece of record exactly native the facility vertically to get the 2 squares that the very same size and also shape.He can cut a rectangular item of record diagonally to obtain the 2 triangles the the exact same size and shape.

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Practice Questions

Guess the polygon:

I am a airplane figure with 4 political parties of same lengths and 90-degree angle on the sides.I am a airplane figure through 2 sides, every of equal length and 90-degree angles on the sides.I am a aircraft figure with 6 sides, and all internal angles are higher than 90 degrees.

Answers