# Area of an Octagon Calculator

Solving a **figure** to find different **parameters** is not **always** a simple task. The **procedure** to calculate **different** parameters become difficult with the **increasing** number of **sides** as well as the **complexity** of the figure. Many **students** find it difficult to find the **area** of an **octagon** because it has a maximum **number** of sides.

Do you also **feel** it is difficult? You **should** use this **area of an octagon calculator**. It is a handy **online** tool that can **help** you in this **regard**. To calculate the area of an **octagon**, you **don’t** need to be **proficient** in the **field**. You only have to **insert** the given measurements in this maths calculator to let the **task** be done and **show** you the final **results**. In the **end**, you will be able to **get** the area of that **octagon** with other parameters like **diagonal** length, **radius** length, and others.

**Table of Contents**

## What is an octagon?

An **octagon** is a **specific** type of **polygon** that has **8 ** sides. The **name** has been **derived** from the Latin word “**Octa**” which means “**8**”. All the sides of this **figure** will be **equal** in length **due** to why it is also called a **regular polygon**.

**Normally**, all octagons are **considered** to be **regular** because of their equal **measurements** for all sides. But there is another **rare**. type of octagon too which is called **irregular** because its sides don’t have the **same** lengths. In a regular **octagon**, all angles are the same (**135 degrees**) and summed up to **1080** degrees.

### What is the area of an octagon?

As **an** octagon is a **closed** figure which **means** it covers a **specific** part of the **region**. The **space** that comes **under** the **8** sides of the octagon will be **termed** as its area. Keep in **mind** that it is the **region** that is inside the **lines** of this shape **not** above the lines or **outside** it.

The area of a **regular** octagon is **calculated** using a specific **formula**. But before **that**, you should **need** to understand a **few** terms used **specifically** for this figure.

**Long Diagonal**: The diagonal of an octagon that is drawn by joining two connecting points by passing from axes of symmetry.**Apothem**: The line that connects the side of an octagon with its center perpendicularly is called an apothem.

In addition to this, let us share some facts about an octagon.

- This figure has 20 diagonals.
- An octagon involves three major types of diagonals.
- All sides of an octagon are the same in length.
- An octagon has a maximum number of sides among other polygons.
- Every angle in an octagon is 135 degrees.

### What is the area of an octagon formula?

**Now**, you have learned **enough** about **octagons**. It is time to **learn** how to **find** the area of an **octagon** and what is its **formula**. Here we have **written** the formula to **let** you understand it **properly**.

Area of an octagon = 2(1 + √2) s^{2}square units

Here, “**s**” is the length of one **side** of the octagon. By using this **formula**, you can **find** the area of an octagon **easily**. Keep in mind that the **units** of the area of an octagon **will** be square of the main unit. It **means** that if you have measurements in **meters**, the area will be **calculated** in square meters (meter^{2}).

### How to calculate the area of an octagon?

**For** the **calculation** of the area of an **octagon**, you only have to **put** the **values** in the above **formula**. Here we have solved an **example** to make it **understandable** for you.

**Example 1:**

Find the area of an octagon if the length of its side is 5 m.

**Solution:**

As we know, the formula for finding the area of an octagon, we have to put the values in it.

Area of an octagon = 2(1 + √2) s^{2}square units

Area of an octagon = 2(1 + √2) (5)^{2}m^{2}

Area of an octagon = 120.71 m^{2}

### How to use the octagon calculator?

Sometimes, you may not want to find the area of an** octagon **manually**. **In such conditions, you should use this tool by** **Calculator’s Bag**. **Follow these steps to use it**. **

- Put the length of a side of the octagon in the input box
- This calculator will show all measurements including area, perimeter, and others.

### FAQ | Area of an octagon

**How do you find the area of an octagon?**

To find the area of a regular octagon, you only have to follow this formula:

Area of an octagon = 2(1 + √2) s^{2}square units

**Are all 8 sides of an octagon equal? **

Yes, normally all 8 sides of an octagon are equal.

**What is the sum of the angles of an octagon? **

The sum of all angles of an octagon is 1080 degrees.

**What is the rule of the area of the octagon? **

The rule to find the area of an octagon is to find the length of the side first. Using this measurement, you can easily solve octagon’s area-related problems.

**How to find the area of a regular octagon? **

To find the area of a regular octagon, you only have to follow this formula:

Area of an octagon = 2(1 + √2) s^{2}square units