Area Of Polygon Formula. It is measured in units squared. In this article, we will show you h
It is measured in units squared. In this article, we will show you how to calculate the area of a polygon on a Cartesian plane, which is widely used in fields such as architecture, engineering, and design. Let's learn more about Area of Polygons with formula, derivation and examples in detail below. If you want to know how to find the area of a variety of polygons, just follow these steps. If you're wondering how to find the area of a polygon or what is the area of a polygon formula, keep reading. The formulae below give the area of a regular polygon. Aug 3, 2023 · For irregular polygons, we divide the polygon into two or more regular polygons, find the individual area of each such polygon, and then add them to get the area of the total figure. 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. Sep 15, 2025 · For example, the area A of a regular polygon can be calculated using the formula: A = (1/2) × Perimeter × Apothem, where the apothem is the distance from the center to the midpoint of a side. Aug 3, 2023 · For irregular polygons, we divide the polygon into two or more regular polygons, find the individual area of each such polygon, and then add them to get the area of the total figure. . Aug 21, 2025 · For example, suppose we have to find the area of a square (4-sided polygon) then its area is found by the formula, (side)2. Similarly, the area of other polygons is found. The perimeter of the polygon is easily determined by multiply the length of each side with the number of sides, which gives: In these lessons, we will learn how to use formulas to find the area of polygons: square, rectangle, parallelogram, triangle, equilateral triangle, rhombus, kite, trapezoid and the area of any regular polygon. Given the length of a side. They assume you know how many sides the polygon has. The following video gives formulas and examples to find the area of squares, rectangles, triangles, parallelograms, and trapezoids. Most require a certain knowledge of trigonometry (not covered in this volume, but see Trigonometry Overview). The perimeter of the polygon is easily determined by multiply the length of each side with the number of sides, which gives: Worksheet to calculate area of polygons. If you want to calculate the area of any 3-sided or 4-sided polygon, check out the triangle area calculator and the quadrilateral area calculator. For irregular polygons, the area can be determined by dividing the polygon into simpler shapes, such as triangles, and summing their areas. 1. Complete guide to regular polygons: area formulas using side length, inscribed & circumscribed radii, interactive visualization, and solved problems. The area of a polygon is the measure of the two-dimensional space enclosed within its boundaries. The shoelace formula, also known as the shoelace algorithm, Gauss's area formula, and the surveyor's formula, is all that's required to calculate the area of a polygon. Jul 5, 2024 · 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. Use the one that matches what you are given to start. Area = AP/2, where A is apothem and P is the perimeter of the polygon.