Dodecagon Area Calculator

Are you curious about how to find the area of a dodecagon? Use the Dodecagon Area Calculator. Just enter the Side Length into the calculator to find the area.

What Is a Dodecagon Area?

A dodecagon is a twelve-sided polygon. The area of a dodecagon can be calculated if you know the length of one of its sides. The formula uses this length to determine the area.

How to Use the Calculator

To use the Dodecagon Area Calculator is simple. Here's how:

1. Side Length: Enter the length of one side. For example, 10.
2. Unit System: Choose the unit system (Metric for cm², Imperial for in²).

Press "Calculate" to see the area.

Formula

The formula to calculate the area of a dodecagon is:

$$\text{Area}=3\times (2+\sqrt{3})\times {\text{side length}}^2$$

Variable	Description
Area	The area of the dodecagon
Side Length	The length of one side of the dodecagon

Calculation Examples

Example 1

• Side Length: $\mathrm{10 }$cm

Step-by-Step Calculation:

1. Identify the value: Side Length = $\mathrm{10 }$cm.

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2. Apply the formula:

$$\text{Area}=3\times (2+\sqrt{3})\times 10^2$$

 

3. Calculate the inside of the parentheses and the square:

$$\text{Area}=3\times (2+1.732)\times 100$$

 

4. Simplify:

$$\text{Area}=3\times 3.732\times 100=1119.6{\text{ cm}}^2$$

 

5. Result: The area is approximately $\mathrm{}$1119.6 cm².

Example 2

• Side Length: $\mathrm{6 }$inches

Step-by-Step Calculation:

1. Identify the value: Side Length = $\mathrm{6 }$inches.

2. Apply the formula:

$$\text{Area}=3\times (2+\sqrt{3})\times 6^2$$

 

3. Calculate the inside of the parentheses and the square:

$$\text{Area}=3\times (2+1.732)\times 36$$

 

4. Simplify:

$$\text{Area}=3\times 3.732\times 36=402.26{\text{ in}}^2$$

 

5. Result: The area is approximately  $\mathrm{}$402.26 in².

 

I hope you easily determined the are of a dodecagon based on the side length. Please don't forget to share your experience with our tool.