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Area of polygon n apothem 2 tan π n when we don t know the apothem we can use the same formula but re worked for radius or for side. A regular polygon is a polygon that is both equiangular and equilateral.

Polygons Reference Sheet Interior Exterior Angle Sum Area In

N is the number of sides.

What is the area of a regular polygon. When the number of sides n is equal to 3 it is an equilateral triangle and when n 4 is is a square. To find the area of a regular polygon you use an apothem a segment that joins the polygon s center to the midpoint of any side and that is perpendicular to that side segment hm in the following figure is an apothem. In our example it s equal to 5 in.

If you want to know how to find the area of a variety of polygons just follow these steps. Type in the polygon side length. By definition all sides of a regular polygon are equal in length.

Calculate the area of a regular polygon last update on february 26 2020 08 09 18 utc gmt 8 hours. S is the length of any side. Area of polygon n radius 2 sin 2 π n.

Tan is the tangent function calculated in degrees. Area a x p 2 where a is the length of the apothem and p is the perimeter of the polygon. The formula for computing the area of a regular polygon is described in the article how to calculate the area of a regular polygon.

To find the area of a regular polygon you use an apothem a segment that joins the polygon s center to the midpoint of any side and that is perpendicular to that side segment hm in the following figure is an apothem. If you know the length of one of the sides the area is given by the formula. Our area of polygon calculator displays the area.

If you want to calculate the area of a regular polygon using other parameters than the side length check out this general regular polygon calculator. All sides are equal length placed around a common center so that all angles between sides are also equal. A regular polygon is an n sided polygon in which all sides are of the same length and all angles have the same degree i e the polygon is both equilateral and equiangular.

The area of any regular polygon is given by the formula. A regular polygon is equilateral it has equal sides and equiangular it has equal angles. A regular polygon is equilateral it has equal sides and equiangular it has equal angles.

Calculating the area of a polygon can be as simple as finding the area of a regular triangle or as complicated as finding the area of an irregular eleven sided shape.