Octagon Calculator (Free Online Calculator)

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Octagon Calculator: This online calculator makes it easy to determine key measurements like side length, area, perimeter, and other geometric properties of an octagon. An octagon is a shape with eight straight sides and eight angles. The w3wiki free online octagon calculator simplifies these calculations, making it accessible even if you’re not a math expert. Whether you’re a student, a DIY enthusiast, or a professional, an Octagon Calculator is a handy tool that can help.

How to use the Octagon Calculator

Here’s how to use the octagon calculator to find out the area and perimeter of an octagon:

Step 1: Type the length of one side of the octagon into the input field.

Step 2: Click the “Calculate” button to see the results.

Step 3: The calculator will show you the area and perimeter of the octagon in the output field.

Octagon Calculator Formula

An octagon calculator uses specific formulas to find the area and perimeter of an octagon. Here’s how the formulas work:

To calculate the perimeter of an octagon, you multiply the length of one side by 8. This is because an octagon has eight sides of equal length. The formula looks like this:

2(1 + √2) × side length²

What is Octagon Calculator?

An octagon calculator is a tool that helps people to manually calculate the area, perimeter, or other properties of an octagon. This guide is particularly useful for those who want to understand the math behind the shapes rather than just getting the answer from a digital calculator.

Octagon Calculator Table

Side Length (units)	Perimeter (units)	Area (square units)	Area Calculation Result
1	8	2(1 + √2) × 1²	≈ 4.83
2	16	2(1 + √2) × 2²	≈ 19.31
3	24	2(1 + √2) × 3²	≈ 43.46
4	32	2(1 + √2) × 4²	≈ 77.25
5	40	2(1 + √2) × 5²	≈ 120.71
6	48	2(1 + √2) × 6²	≈ 173.82
7	56	2(1 + √2) × 7²	≈ 236.60
8	64	2(1 + √2) × 8²	≈ 309.02
9	72	2(1 + √2) × 9²	≈ 391.11
10	80	2(1 + √2) × 10²	≈ 482.84

Please note that the area calculation result is rounded to two decimal places for simplicity. The actual area calculation might have more decimal places and can be slightly different depending on the precision of your calculations.

Solved Examples on Octagon Calculator

1. For a side length of 3 units:

Perimeter = 3 × 8 = 24 units

Area = 2(1 + √2) × 3² ≈ 43.46 square units

2. For a side length of 5 units:

Perimeter = 5 × 8 = 40 units

Area = 2(1 + √2) × 5² ≈ 120.71 square units

3. For a side length of 6 units:

Perimeter = 6 × 8 = 48 units

Area = 2(1 + √2) × 6² ≈ 173.82 square units

3 Practice Questions on Octagon Calculator

1. If an octagon has a side length of 7 units, what is its perimeter?

2. Calculate the area of an octagon with a side length of 10 units.

3. An octagon’s side length is 9 units. What is its area and perimeter?

Conclusion

Octagon Calculator can greatly simplify calculations related to this eight-sided shape. Whether you’re working on a construction project, crafting, or involved in geometric design, an Octagon Calculator provides accurate measurements for side lengths, perimeter, and area. This tool ensures precision, saving time and reducing errors, making it a valuable resource for both professionals and hobbyists. Utilize an Octagon Calculator to enhance efficiency and ensure accurate results in any project involving octagons.