Area of a Pentagon Calculator
Not every mathematical problem is simple to solve because of complex shapes, dimensions, and larger measures. Do you know solving a pentagon can be a difficult task because of multiple sides' involvement? Want to make this process easier? If yes, you should use this area of a pentagon calculator.
It is an online handy tool using which you can find the area of any pentagon within seconds. Using this maths calculator, you can also solve problems even if you don’t know how to do this. You can easily get the answer for the area calculation of this specific figure by just putting the values in the given input boxes.
Table of Contents
What is the area of a pentagon?
A Pentagon is a 5-sided plane figure that comes in the category of a polygon. This specific figure covers a specific region under its boundaries that makes up the area of a pentagon. In simple words, the region that a pentagon covers is called the area of that pentagon.
Depending on the measures of the sides of this figure, pentagons are divided into two main types mentioned below.
- Regular Pentagon: A pentagon with the same lengths for all sides is called a regular pentagon.
- Irregular Pentagon: A pentagon that has different lengths for all its sides is called an irregular pentagon.
In this figure, 5 sides are connected side by side with each other. As a result, it makes the angle 540 degrees in total. The area of a pentagon is also calculated in square units. It means that if the measurements are given in meters, the area will be written in square meters.
Area of a pentagon formula
To find the area of a pentagon, you only have to be familiar with the formula used for this purpose. Don’t you know what the formula is? Here is the formula written in the following.
Area of a pentagon = a2/4 ✖ √(25 + 10 5) square units
Here:
- “a” represents the length of the side of a pentagon.
How to find the area of a pentagon?
If you are familiar with the above formula and basic mathematical operations, you can easily find the area of a pentagon. Here is a solved example for the sake of your understanding.
Example 1:
Find the area of a pentagon if the measure of the length of its side is 7 meters.
Solution:
As we know,
Area of a pentagon = a2/4 ✖ √(25 + 10 √5) square units
So, we have to put the given values in this formula only.
Area of a pentagon = (7)2/4 ✖ √(25 + 10 √5) m2
By solving,
= 43.01 m2
How to use the area of a pentagon calculator?
Using this online tool by Calculator’s Bag is pretty simple. Just follow two steps to get the area of a pentagon and other related measurements.
- Write the measure of the length of the side of a pentagon.
- This calculator will automatically show you the answers for the area of that pentagon.
FAQ | Area of a Pentagon Calculator
What is a pentagon?
A pentagon is a specific type of polygon that has 5 sides in a single plane. The lengths of the sides can be the same or different.
How many sides does a pentagon have?
A pentagon has 5 sides.
What is the internal measure of a pentagon?
The internal measurements of a pentagon are the angle calculation internally.
What is the external measure of a pentagon?
The external measure of a pentagon is the angle calculation from the external sides.
What is the total area of a regular pentagon?
The total area of a pentagon is given by:
Area of a pentagon = a2/4 ✖ √(25 + 10 √5) square units
