Area of a Regular Polygon

📊 intermediate

$$A = \frac{1}{2} n s a$$

Calculates the area of any regular polygon given its number of sides, side length, and apothem.

Variables & Units

$n$

Number of sides

Unit: Integer

$s$

Side length

Unit: Length

$a$

Apothem (distance to center)

Unit: Length

Key Information

📐 Derived From

Dividing the polygon into $n$ congruent triangles.

💡 Example

Area of a regular hexagon with side $4$.

🔧 Applications

Floor tiling and architectural design.

⚠️ Constraints

Regular polygon (all sides/angles equal).

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