The Dodecagon Calculator is a versatile tool designed to quickly and accurately compute two essential properties of a regular dodecagon: its area (A) and perimeter (P). A dodecagon is a polygon with twelve sides, each of equal length. The calculator simplifies the process of determining these geometric parameters, eliminating the need for manual calculations and potential errors.
Formula of Dodecagon Calculator
The formula used by the Dodecagon Calculator is as follows:
A = 3 * s^2 * (2 + sqrt(3))
Where:
- A represents the area of the dodecagon,
- s is the length of one side of the dodecagon.
The formula for the perimeter (P) of a regular dodecagon with side length (s) is:
P = 12 * s
General Terms Table
| Term | Description |
|---|---|
| Regular polygon | A polygon with all sides and angles of equal length and measure. |
| Geometric area | The measure of the extent of a surface. It is measured in square units. |
| Perimeter | The total length of the boundary of a closed figure. It is measured in linear units. |
| Dodecagon | A polygon with twelve sides and twelve angles. |
| Side length (s) | The length of one side of the dodecagon. |
This table provides definitions for general terms related to polygons, geometry, and the properties of a dodecagon. Understanding these terms can enhance users’ comprehension and facilitate their use of the calculator.
Example of Dodecagon Calculator
Suppose we have a regular dodecagon with a side length (s) of 5 meters. Using the Dodecagon Calculator, we can easily determine its area (A) and perimeter (P).
Calculation:
Area (A):
A = 3 * 5^2 * (2 + sqrt(3)) ≈ 3 * 25 * (2 + 1.732) ≈ 3 * 25 * 3.732 ≈ 3 * 93.96 ≈ 281.88 m²
Perimeter (P):
P = 12 * 5 = 60 m
Most Common FAQs
A: A dodecagon is a polygon with twelve sides and twelve angles.
A: To calculate the area (A) of a dodecagon, you can use the formula: A = 3 * s^2 * (2 + sqrt(3)), where ‘s’ represents the length of one side.
A: The perimeter (P) of a dodecagon can be calculate by multiplying the length of one side (s) by 12: P = 12 * s.