Heptagon Area Calculator
Created by Kaushik RabadiyaLast updated: June 27, 2024Heptagon area instantly calculates results using alpha1, area, beta1. Use the calculator above for instant answers in your browser.
Key takeaway: Use this heptagon area calculator to determine the area of a regular heptagon, given its side, perimeter, circumcircle radius, or apothem. This free Heptagon Area Calculator is designed for students, teachers, and anyone who needs quick math answers — enter your values above to get instant results.
In 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:
- is the area of a regular polygon;
- is the number of sides of the regular polygon; and
- is the length of the regular polygon's side.
Substituting for , 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 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 );
- Circumcircle radius (R) (equal to ); or
- Incircle radius or apothem (r) (equal to ).
FAQs
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
Formula verified against Mathematical standards (ISO 80000-2) — all calculations use deterministic, standards-based formulas.
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