LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

POLYGON - PENTAGON

__PENTAGON -__

**A pentagon is a polygon with five sides and five angles. Here are a few key characteristics of pentagons:**

__Types of Pentagons:-__

__Regular Pentagon:-__All sides are equal in length.All internal angles are equal, with each angle measuring 108°. The regular pentagon is a symmetric shape often seen in geometry and art.__Irregular Pentagon:-__The sides and angles can have different lengths and measures. It does not have the symmetry of a regular pentagon.

__Area Formula for a Regular Pentagon:-__

**The area A of a regular pentagon with side length s can be calculated using the formula:-**

** 1**

** A = ------ √5 (5 + 2√5) ⋅ s²**

** 4**

**Alternatively, you can also calculate the area using the apothem (the distance from the center of the pentagon to the midpoint of one of its sides):**

** 1**

** A = ------ × Perimeter × Apothem**

** 2**

__Examples of Pentagons in Real Life:-__

**The Pentagon building in Arlington, Virginia, which is the headquarters of the United States Department of Defense, is perhaps the most famous example of a pentagon-shaped structure.****Certain natural shapes, such as flowers or sea stars, often exhibit pentagonal symmetry.**