Area of Irregular Polygon
An irregular polygon is a polygon in which all the sides are unequal. To find the area of an irregular polygon we first divide the Irregular Polygon into smaller polygons such as triangles and quadrilateral and then the area of smaller polygons are found and then sum the of all the polygons is found which gives the area of the irregular polygon.
The same can be explained using the example added below:
Area of Quadrilateral(ABCD) = (Area of Triangle ABC) + (Area of Triangle ACD)
In the above figure, the diagonal AC will act as a common base of the two triangles ABC and ADC with heights h1 and h2 respectively.
Area of Quadrilateral (ABCD) = Area of Triangle (ABC) + Area of Triangle (ACD)
Area of Quadrilateral (ABCD) = (1/2) × AC × h1 + (1/2) × AC × h2
Area of Quadrilateral (ABCD) = (1/2) × AC × (h1 + h2)
Thus, the area of the regular polygon is easily found.
Area of Polygons
Area of the Polygon is the area enclosed by the boundary of the polygon. A polygon is a closed, two-dimensional shape with straight sides. Each side of a polygon is a line segment, and the points where the sides meet are called vertices.
A polygon is a figure formed by joining ‘n’ straight lines such that it forms a closed figure. It has n-sides and there are different types of polygon, such as triangle, square, pentagon, etc. The area of the polygon is found by various methods and different types of polygons have different formulas to calculate its area. 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.
Let’s learn more about Area of Polygons with formula, derivation and examples in detail below.
Table of Content
- Area of Polygon Definition
- Types of Polygon
- Regular Polygon
- Irregular Polygon
- Area of Polygon Formula
- Area of Regular Polygons
- Area of Irregular Polygon
- Area of Polygons with Coordinates
- Difference Between Perimeter and Area of Polygons
- Area of Polygon Examples
- Practice Questions on Area of Polygons