9/26/2023 0 Comments X sides polygon![]() ![]() Common examples of polygons are triangles, squares, pentagons, hexagons, etc. Based on the number of sides of a polygon, we can easily identify the polygon shape. Each side of the line segment intersects with another line segment only at its endpoint. Hence, the sum of the interior angles of a triangle is 180°.įAQs on Polygon Formula What is Meant by Polygon Formula?Ī polygon is a closed 2-D shape that is made up of three or more straight lines. Using the polygon formula, we know that the sum of interior angles is given by: Thus, the perimeter of the given octagon is 56 cm and the value of each internal angle is 135 degrees.Įxample 3: Using the polygon formula, find the sum of the interior angle of a triangle. Now, to find each interior angle by using the polygon formula, The perimeter of the octagon is P = n × s Calculate the perimeter and value of one interior angle. Hence, the sum of the interior angles of a hexagon is 720°.Įxample 2: A polygon is an octagon and its side length is 7 cm. Using the polygon formula, we know that the sum of interior angles is given by: Math will no longer be a tough subject, especially when you understand the concepts through visualizations.īook a Free Trial Class Examples Using Polygon FormulasĮxample 1: Find the sum of the interior angle of a hexagon. If a polygon does not cross over itself and has only one boundary, it is called a simple polygon.If at least one of the interior angles is > 180 degrees, then it is called a concave polygon.The sum of the interior angles of all the quadrangles = 360°.The important properties of the polygon are The important formulas associated with a regular polygon are given below:įormula 1: For a regular 'n' sided polygon, the sum of interior angles of a polygon is 180°(n-2)įormula 2: The number of diagonals of an “n-sided” polygon = /2įormula 3: The measure of each interior angle of a regular n-sided polygon = /nįormula 4: The measure of exterior angles of a regular n-sided polygon = 360°/nįormula 5: Area of regular polygon = (number of sides × length of one side × apothem)/2, where, the length of apothem is given as the \(\dfrac\) and where l is the side length and n is the number of sides of the regular polygon.įormula 6: In terms of the perimeter of a regular polygon, the area of a regular polygon is given as, Area = (Perimeter × apothem)/2, in which perimeter = number of sides × length of one side Below are the listed polygons based on their number of sides. The number of sides of a polygon determines its shape and it's named after its number of sides. Common examples of polygons are triangles, squares, pentagons, hexagons, etc. Convex polygon – All the interior angles of a polygon 180 degrees.Irregular Polygon – All the interior angles and the sides have different values.Regular Polygon – All the interior angles and the sides are of the same measure.Types of Polygonīased on the angle measure and the sides of a polygon, the polygon is classified into: Let us learn more about the different polygons and their formulas. Each side of the line segment intersects with another line segment at the vertex. A polygon is a closed 2-D shape that has three or more straight lines. A polygon should have at least three sides. Before starting with the polygon formula, let us recall the definition of a polygon.
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