Understanding Polygon
The polygon calculator computes the area and perimeter of regular polygons, which are shapes with equal side lengths and equal angles. Regular polygons include familiar shapes like equilateral triangles, squares, pentagons, hexagons, heptagons, octagons, and many more with increasing numbers of sides. As the number of sides increases, a regular polygon increasingly approximates a circle. This calculator takes the number of sides and the side length as inputs and computes the area using the formula that divides the polygon into congruent isosceles triangles from the center. The perimeter is simply the number of sides multiplied by the side length. The calculator also shows the interior angle, central angle, and apothem, which is the distance from the center to the middle of any side. Regular polygons appear throughout design, architecture, nature, and engineering. Honeycomb cells are regular hexagons, stop signs are regular octagons, and many nuts and bolts use hexagonal heads. The Pentagon building is a regular pentagon in plan view. Understanding regular polygon calculations helps with tiling patterns, architectural design, mechanical engineering, and mathematical education. Use this free polygon calculator for geometry homework, design projects, engineering calculations, or any application involving regular polygonal shapes.