Area of Octagon Calculator

Calculate Area of Octagon



Formula

The formula to calculate the Area of Octagon is:

\[ \text{Area of Octagon} = 2 \times (1 + \sqrt{2}) \times \text{le}^2 \]

Where:

Area of Octagon Definition

The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{Area of Octagon} = 2 \times (1 + \sqrt{2}) \times 10^2 \]

Evaluating:

\[ \text{Area of Octagon} = 2 \times (1 + \sqrt{2}) \times 100 \]

\[ \text{Area of Octagon} = 2 \times 2.414213562373095 \times 100 \]

\[ \text{Area of Octagon} = 482.842712474619 \]

The Area of Octagon is approximately 482.842712474619 square meters.

Area of Octagon Conversion Table

Edge Length (m) Area of Octagon (square meters)
1 4.828427124746
2 19.313708498985
3 43.455844122716
4 77.254833995939
5 120.710678118655
6 173.823376490863
7 236.592929112563
8 309.019335983756
9 391.102597104441
10 482.842712474619