Aug 3, 2023 · For determining the area of a polygon given on a coordinate plane, we will use the following formula: Area (A) = | (x 1 y 2 – y 1 x 2) + (x 2 y 3 – y 2 x 3)…. + (x n y 1 – y n x 1)/2 |. To learn the steps follow the link given below: Mathopenref.com.

If the number of sides of a polygon is given, the area of the polygon can be calculated with the help of the formula, Area = [(L 2 n)/4 tan(180/n)]; where L is the length of its side and 'n' is the number of sides of the polygon.

Oct 9, 2024 · To calculate the area of a regular polygon given the sides, apply the formula: area = n × a² × cot(π/n) / 4 . where: n – Number of sides of the polygon; a – Length of the side; and; cot – Cotangent function (cot(x) = 1/tan(x)).

Generally, the area of a polygon can be determined using different formulas, based on whether the polygon is regular or irregular. The area of regular polygon formulas for some of the most commonly used polygons are as follows: Area of Equilateral triangle = (√3a2) /4 square units. Where “a” is the side length of an equilateral triangle.

May 19, 2022 · The formula for calculating the area of a regular polygon is A = (n/2) * L * R, where n is the number of sides in the polygon, L is the length of one side of the polygon, and R is the radius of an inscribed circle.