Area of polygon calculator
Area of polygon calculator
To calculate the area of a polygon, you will need to know the number of sides and the length of each side of the polygon. Here are the steps to calculate the area of a regular polygon:
- Determine the length of one side of the polygon.
- Determine the apothem of the polygon. The apothem is the distance from the center of the polygon to the midpoint of one of its sides. The formula for the apothem is: apothem = (side length) / (2 * tan(pi / number of sides))
- Calculate the perimeter of the polygon by multiplying the number of sides by the length of one side.
- Calculate the area of the polygon using the formula: area = (perimeter * apothem) / 2
For irregular polygons, the calculation is more complicated and involves dividing the polygon into smaller shapes and adding their areas together. This can be done using various methods, such as triangulation or decomposition into trapezoids or triangles.
Area of polygon
The formula for finding the area of a polygon depends on the number of sides it has and its shape. For a regular polygon with n sides of length s and apothem (distance from the center to the midpoint of a side) a, the area is given by:
Area = 1/2 * n * s * a
For an irregular polygon, you can divide it into smaller regular polygons and find the area of each using the formula above, then add them up. Alternatively, you can use the Shoelace formula, which involves arranging the vertices of the polygon in order and using their coordinates to calculate the area.