Area of Pentagon

How Many Sides does a Pentagon have?

Pentagons have five sides, five internal angles as well as five vertices.

How Many Diagonals are there in a Pentagon?

There are 5 digonals in the geometric object pentagon.

How to Find the Area of Pentagon?

We can find area of pentagon using the formula A =(5/2) × s × a, where s is the side length of pentagon and a is the apothem length.

How many Triangles are in a Pentagon?

Any polygon can be spilt into unique triangles, where joining them we get the original polygon. Pentagons can be divided into three such triangles.

What is a Regular Pentagon?

A pentagon with all sides equal is known as regular pentagon.



Area of Pentagon

Area of Pentagon or the area of any polygon is the total space taken by that geometric object. In geometry area and perimeter are the most fundamental quantities of measurement after the side. In general, we study two types of shapes in geometry one is flat shapes(2-D Shapes) and other solid shapes (3-D Forms). We can only calculate the area for the 2-D shapes as for 3-D shapes we need to calculate the surface area. Geometry also deals with the parameters of these shapes and gives standard formulas for determining their parameters like area, perimeter, volume, etc. 

Table of Content

  • What is a Pentagon?
  • What is the Area of Pentagon?
  • Examples of Pentagon
  • Properties of a Pentagon
  • Area of Pentagon Formula
  • How to find the Area of Pentagon?
  • Area of Pentagon with Apothem Length
  • Area of Regular Pentagon
  • Area of Irregular Pentagon
  • Sample Problems on the Area of the Pentagon
  • Area of Pentagon – FAQs
    • How Many Sides does a Pentagon have?
    • How Many Diagonals are there in a Pentagon?
    • How to Find the Area of Pentagon?
    • How many Triangles are in a Pentagon?
    • What is a Regular Pentagon?

This article deals with one of the flat(2-D) shapes named “Pentagon” and gives a brief description of the Pentagon and its properties. This article also explains the method to calculate the area of a pentagon along with some sample problems for better understanding. 

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What is a Pentagon?

The word Pentagon denotes ‘five angles’ as it is derived from the Greek words “Penta” which means five and “gonia” which means angles, thus Pentagon is a geometrical shape having five sides and five angles (interior). A regular pentagon has equal five sides, equal five interior angles of measure 108°, and also have five lines of reflectional and rotational symmetry....

What is the Area of Pentagon?

The area of a pentagon is the space inside its sides. We can figure out this space using different methods depending on what we already know about the pentagon’s measurements. It also matters whether the pentagon is regular or irregular. If it’s regular, we can use one formula to find its area. But if it’s irregular, we have to break it into smaller shapes, find their areas, and add them up. We measure the area of a pentagon in square units like square meters, square centimeters, square inches, or square feet. Now, let’s learn how to find the area of a pentagon....

Examples of Pentagon

There are many examples of the Pentagon either regular or irregular in the daily lives of a common man, some of those examples are as follows:...

Properties of a Pentagon

A pentagon is a two-dimensional shape with five sides and five interior angles, with the following properties:...

Area of Pentagon Formula

For regular pentagons, if the side is represented by s and apothem length which is represented in the following diagram, we can calculate the area of the pentagon using the formula:...

How to find the Area of Pentagon?

There are various ways to find the area of the Pentagon, which are explained as follows:...

Area of Pentagon with Apothem Length

The area of a pentagon is determined by its side and apothem length. The formula of the area of a pentagon is derived by multiplying any side and apothem length by 5/2. Mathematically the formula is given by...

Area of Regular Pentagon

The area of the pentagon can also be calculated only by using the length. If the side of the regular pentagon is s, then the area of the pentagon can be calculated using the following formula:...

Area of Irregular Pentagon

The area of the Irregular Pentagon can be calculated by splitting the pentagon into small triangles of quadrilaterals (whichever is the most efficient according o the problem) and then calculating their individual areas and adding them together to find the area of the irregular pentagon....

Sample Problems on the Area of the Pentagon

Problem 1. Find the area of a pentagon with a side of 5 cm and an apothem length of 4 cm....

Area of Pentagon – FAQs

How Many Sides does a Pentagon have?...

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