LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

POLYGON - DECAGONS

__DECAGONS -__

**A decagon is a polygon with ten sides and ten angles. Here are the key properties and details about decagons:**

__Types of Decagons:-__

__Regular Decagon:-__All ten sides are of equal length.All internal angles are equal, with each angle measuring 144°.A regular decagon has symmetrical properties and can be inscribed in a circle.__Irregular Decagon:-__The sides and angles can vary, resulting in an asymmetrical shape.

__Area Formula for a Regular Decagon:-__

**The area A of a regular decagon with side length s can be calculated using this formula:**

** 5 π **

** A = ------ s²cot (-----)**

** 2 10**

**This formula computes the area based on the side length and the cotangent of the angle.**

__Other Properties:-__

**The perimeter of a regular decagon is ten times the length of one side:**

** Perimeter = 10 x s**

**The sum of the internal angles of any decagon is always 1,440°, whether it is regular or irregular.**

__Examples of Decagons in Real Life:-__

__Coins:-__Some coins are designed with decagonal shapes for easy handling and recognition.__Architecture:-__Decagonal shapes can sometimes be found in architectural designs for both aesthetics and functionality.__Decorative art and tiling:-__Decagons are often used in tiling patterns and artwork for their symmetry and appeal.