Area:
The Area of Hexagon with Radius Calculator is an essential tool that computes the space within a hexagon when the radius is known. The radius of a hexagon is the distance from the center of the hexagon to any of its vertices. This measurement is pivotal as it directly influences the area calculation, providing a straightforward approach to determining the size of a hexagon.
Formula of Area of Hexagon with Radius Calculator
To find the area of a hexagon when given the radius (r), the following mathematical formula is used:
Here is how each part of the formula contributes to finding the area:
- Identify the radius (r): The radius is a measurement from the center to any vertex of the hexagon.
- Square the radius: Calculate r^2.
- Multiply by (3 * sqrt(3) / 2): This constant factor scales the squared radius to derive the area.
Table of General Terms
| Term | Description |
|---|---|
| Radius | Distance from center to any vertex. |
| Area | The total space within the hexagon. |
| Perimeter | Total length of the boundary of the hexagon. |
Example of Area of Hexagon with Radius Calculator
Consider a hexagon with a radius of 5 cm. Using our formula:
Area = (3 * sqrt(3) / 2) * 5^2 = (3 * sqrt(3) / 2) * 25 = 64.95 cm²
This example shows how the calculator can quickly compute the area, making it easy for anyone to perform geometric calculations.
Most Common FAQs
The radius is the distance from the center to any of the hexagon's vertices.
Yes, there are conversions within the calculator that allow computation from side length to radius, enabling area calculation.
The formula specifically applies to regular hexagons where all sides and angles are equal.