# Heptagon Area Calculator

Table of contents

How to calculate the area of a heptagonHow to use this heptagon area calculatorCraving for more polygon-related knowledge?FAQsIn this heptagon area calculator, you will learn a lot of things like:

- How to find the area of a heptagon;
- How to derive the heptagon area formula; and
- How to use this heptagon area calculator.

**Heptagon** (or septagon) is a **seven-sided polygon**, and despite being very rarely used in design due to its odd number of sides, we're here to discuss how to calculate its area. Ready to learn? Then keep on reading. 🙂

## How to calculate the area of a heptagon

Finding the area of a heptagon is very easy. All we have to do is utilize the regular polygon area formula presented below:

Where:

- $A$ is the
**area**of a regular polygon; - $n$ is the
**number of sides**of the regular polygon; and - $a$ is the length of the regular polygon's
**side**.

Substituting $7$ for $n$, we now have the **heptagon area formula**:

If you don't have a scientific calculator to enter trigonometric functions like the tangent function in our equation, you can use this **simplified heptagon area formula**:

As an example heptagon area calculation, let's consider a septagon with a side $6\ \text{cm}$ in length. Using our heptagon area formula, we get:

## How to use this heptagon area calculator

Our heptagon area calculator is straightforward and intuitive. To use our tool, you only have to:

- Input
**at least one**of any of the following measurements of your heptagon:**Side (a)**;**Perimeter**(equal to $7\times a$);**Circumcircle radius (R)**(equal to $\frac{a}{2 \times \sin(\frac{180\degree}{7})}$); or**Incircle radius or apothem (r)**(equal to $\frac{a}{2\times\tan(\frac{180\degree}{7})}$).

### How do I find the area of a heptagon?

To find the area of a heptagon:

**Take the measurement of its side**. Say we have a heptagon with a side that measures 4 cm.**Square that measurement**to obtain: 4 cm × 4 cm = 16 cm².**Multiply that square by 1.75/tan(180°/7)**or**3.633912444**to find the heptagon area of`16 cm² × 3.633912444 = 58.1425991 cm²`

.`≈ 58.14 cm²`

### What is the area of a heptagon with a 2 feet side?

The area of a heptagon with a side that measures 2 feet is **around 14.536 ft²**. Using the heptagon area formula:

`heptagon area = 3.633912444 × side²`

.

`= 3.633912444 × (2 ft)²`

`= 3.633912444 × 4 ft²`

`= 14.53564978 ft²`

`≈ 14.536 ft²`