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Heptagon Area Calculator

Introduction

Welcome to our Heptagon Area Calculator! which will help you calculate the heptagon’s area quickly and accurately. A heptagon is a closed two-dimensional shape with seven sides. If the length of the sides of a heptagon is all equal, then it is a regular heptagon. Whereas, if all seven sides are unequal, it is an irregular heptagon. The heptagon is also called a septagon.

The space occupied by the heptagonal shape in the two-dimensional plane is called the area of the heptagon.

How to use the Heptagon Area Calculator?

Using the Heptagon Area calculator, you can calculate the area of the heptagon by inputting the length of the side of the heptagon.

The variables in the Heptagon Area Calculator include:

Side (s): Length of a side of a Regular Heptagon.

Area of Regular Heptagon (A) The area of the Regular Heptagon is calculated using the following formula.

A=7×s24×cot(1807)A = \normalsize \dfrac{7\times s^2}{4} \times \text{cot}(\dfrac{180}{7})

Where,

a = Length of the side of the Heptagon

What is a Heptagon?

The heptagon is a closed two-dimensional polygon with seven sides, seven interior angles, and seven vertices.

Basically, Heptagons can be classified into four types based on the length of their sides, a measure of their angles, and their vertices.

  1. Regular Heptagon: if all seven sides of the Heptagon are equal and all seven angles are equal, then the Heptagon is called a regular Heptagon.

  2. Irregular Heptagon: if the sides and the angles of the Heptagon are not equal, then it is called an Irregular Heptagon.

  3. Convex Heptagon: if all of the vertices of the Heptagon point outward, then it is called a Convex Heptagon.

  4. Concave Heptagon: if at least one of the Heptagon’s vertex points inward, it is called a Concave Heptagon.

The properties of Regular Heptagon:

  1. It has seven equal sides and seven angles.

  2. It has seven vertices.

  3. Each interior angle of a heptagon is about 128.57 degrees.

  4. Each exterior angle measures about 51.43 degrees.

  5. The total sum of the interior angles is equal to 900 degrees.

  6. The number of diagonals in a heptagon is 14.

How is the area of the Heptagon Calculated?

The total space taken up by the Heptagon in a two-dimensional plane is called the area of the Heptagon. It could also be thought of as the number of square units required to fill the region inside the Heptagon. Hence the measurement will be in square units.

We can calculate the area of the heptagon using the following formula.

A=7×s24×cot(1807)A = \normalsize \dfrac{7\times s^2}{4} \times \text{cot}(\dfrac{180}{7})

Where,

A = Area of the Regular Heptagon

a = Length of the side of the Heptagon

Examples

Let’s say there is a regular heptagon with a length of the side equal to 10 cm. What is the area of the heptagon?

We can calculate the area of the regular heptagon using the following formula.

A=7×1024×cot(1807)≈363.39  cm2\begin{aligned} A &= \normalsize \dfrac{7\times 10^2}{4} \times \text{cot}(\dfrac{180}{7})\\[10pt] &\approx 363.39 \; cm^2 \end{aligned}
Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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