Apótema Polígono Regular

The regular polygon apothem calculator determines the distance from the center to a side. The apothem is a perpendicular line from the polygon's center to one of its sides. In regular polygons, all sides and angles are equal, and the apothem is constant. The formula used is a = l/(2·tan(π/n)), where l is side length and n is number of sides. This tool simplifies manual calculation, avoiding trigonometric errors.

How it works: enter the side length and number of sides of the regular polygon. The calculator applies the tangent of π divided by the number of sides, multiplies by 2, and divides the side by that value. The result is the apothem. For example, for a hexagon (6 sides) with side 10 cm, the apothem is approximately 8.66 cm. This is useful for construction projects, crafts, or geometry problems requiring precision.

When to use: this calculator is ideal for architects, engineers, woodworkers, and students working with regular shapes. For instance, when designing a hexagonal table or calculating the area of a regular polygon (area = perimeter × apothem / 2). It is also useful in geometry problems involving inscribing polygons in circles, as the apothem is the radius of the inscribed circle.

Cautions: the polygon must be regular, with all sides and angles equal. Otherwise, the apothem is not uniform. Ensure you use the same unit of measurement for the side (meters, centimeters, etc.). The calculator uses radians for the tangent, so verify your input is correct. Remember that the apothem is different from the circumradius (distance from center to vertex).