How to find the area of a hexagon?
Understand the Problem
The question is asking for a method to calculate the area of a hexagon. This involves using a specific formula that can vary depending on the given dimensions of the hexagon, such as side length or apothem.
Answer
Use the formula $ A = \frac{3 \sqrt{3}}{2} s^2 $ to find the area of a regular hexagon.
Answer for screen readers
To find the area of a regular hexagon, use the formula $ A = \frac{3 \sqrt{3}}{2} s^2 $ where $s$ is the side length.
Steps to Solve
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Understand the formula for the area of a regular hexagon
For a regular hexagon (all sides are equal), you can use the formula: $$ A = \frac{3 \sqrt{3}}{2} s^2 $$ where $s$ is the length of one side of the hexagon.
- Substitute the side length into the formula
If you have the side length $s$, substitute it into the formula to find the area. For example, if $s = 4$, then the calculation is: $$ A = \frac{3 \sqrt{3}}{2} \cdot 4^2 $$
- Simplify the expression
Calculate the value inside the expression step by step: $$ s^2 = 4^2 = 16 $$ $$ A = \frac{3 \sqrt{3}}{2} \cdot 16 $$ $$ A = 24 \sqrt{3} \approx 41.57 $$
To find the area of a regular hexagon, use the formula $ A = \frac{3 \sqrt{3}}{2} s^2 $ where $s$ is the side length.
More Information
A hexagon can be divided into 6 equilateral triangles, which simplifies finding its area using the formula.
Tips
A common mistake is not squaring the side length $s$ before multiplying by the constants. Always calculate $s^2$ first.
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