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Plug the values of a and p in the formula and get the area. Where s is the length of any side.

Area Of Polygons Worksheets Free Finding Area Of Polygons

The area of any regular polygon is given by the formula.

Finding the area of a regular polygon. A 1 4 na 2 cot π n nr 2 tan π n perimeter p. A regular polygon is equilateral it has equal sides and equiangular it has equal angles. As an example let s use a hexagon 6 sides with a side s length of 10.

For a triangle multiply by the length of the base and the height. Show more show less. Of sides x length of side.

R 1 2 a cot π n r cos π n circumradius r. Rectangle polygon area a 1 2 apothem x no. Plug the values of a and p in the formula and get the area.

How to find the area of a polygon. Learn about the apothem and how to find the area of a regular polygon. Comments are turned off.

By definition all sides of a regular polygon are equal in length. The following mathematical formula is used in this regular plygon area calculator to find the area from the given input value of apothem number of sides length of side. A 2r tan π n 2r sin π n inradius r.

Calculate the area of a regular polygon last update on february 26 2020 08 09 18 utc gmt 8 hours. Calculate the area of polygons using other formulas e g. 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.

R 1 2 a csc π n r sec π n area a. To find the length of a trapezoid add the length of the two bases and multiply that number by the height. How to find the area of regular polygons calculating the area calculate the perimeter.

Then find the area with given three sides sss equation it s called heron s formula. If you know the length of one of the sides the area is given by the formula. To calculate the area of a regular polygon use the specific formula for that shape.

Determine the polygon area given side lengths and some diagonals by splitting the polygon into triangles. For a square or rectangle multiply the length of the base by the height. Know the correct formula.

Area a x p 2 where a is the length of the apothem and p is the perimeter of the polygon.