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Polygon Formula
A polygon is a closed, twodimensional figure composed of straight lines in geometry. In most cases, it can quickly be determined by the polygon’s number of sides from its name. A triangle is a polygon that has three sides, for instance. A closed 2D object with three or more straight lines is called a polygon. A polygon must have three sides at a minimum. At the vertices, each side of the line segment crosses another line segment. A closed, twodimensional polygon in Mathematics is a shape with straight line segments. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. The only location at which a line segment can cross another is at the endpoint. One can quickly determine the shape of a polygon from the number of its sides.
What is Polygon Formula?
The following list includes key Polygon Formula’s:
Formula 1: The sum of an interior polygon’s angles is 180 degrees for regular polygons with n sides (n2)
Formula 2: [n(n3)]/2 is the number of diagonals in a “nsided” polygon.
Formula 3: [(n2)180°]/n is the measure of each interior angle in a normal nsided polygon.
Formula 4: A regular nsided polygon’s outer angle measurement is equal to 360°/n.
The area of a regular polygon is calculated using the formula 5: (number of sides length of one side apothem)/2, where l is the side length and n is the number of sides in the regular polygon.
Formula 6: The area of a regular polygon is given as Area = (Perimeter apothem)/2, where the perimeter equals the number of sides times the length of one side.
Properties of Polygon
The polygon’s crucial characteristics are
 The internal angles of all the quadrangles added together equal 360°.
 A polygon is referred to as concave if at least one of the internal angles is greater than 180 degrees.
 A simple polygon is one that just has one boundary and does not cross over itself. It is a complicated polygon otherwise.
Examples Using Polygon Formulas
One of the most important subjects in a student’s academic career is Mathematics. Students typically view Mathematics as the most difficult subject. Along with fully grasping the mathematical concepts, students should practice answering the questions. By studying Mathematics, they can sharpen their concentration and logical reasoning abilities. Since Mathematics is regarded as a difficult topic, it is advised that students study the solved examples on the Polygon Formula available on the Extramarks website which helps them to comprehend the topic more effectively. In addition to providing solved examples, Extramarks also provides teachers to instruct and help students with their doubts and concepts.
On its website, Extramarks offers Polygon Formula solved examples. By creating an online account, students can get access to the Extramarks’ solved examples. It consists of the crucial elements that were meticulously worked out by subjectmatter experts. The most recent examination standards and syllabus are used to generate the study material based on the Polygon Formula, which completely covers the solved examples on the Polygon Formula. The Extramarks website offers a variety of study tools that students can use to succeed in their exams. The Polygon Formula solved examples must be consulted by students who struggle with the chapter’s question. There is a tonne of study material, but it can be challenging for students to figure out which sources are reliable.
Students should refer to Extramarks’ website as it is considered one of the most trustworthy websites that offers reliable Polygon Formula examples. Instead of scouring numerous sites for solutions, students can save time by using the Polygon Formula solved examples available on the Extramarks website. By using the solved examples provided by Extramarks, students can fully understand the Polygon Formula. Students may access comprehensive and reliable solved examples through Extramarks. Students must make sure that their study resources are authorised in order to do well on their examinations.
The Polygon Formula solved examples might not always be available to students. Having access to an internet connection might not always be possible. The Extramarks website offers the Polygon Formula solved examples as a PDF file. The ability to access information in PDF format should be available to students in order to keep learning. For all of your extracurricular needs, students can turn to Extramarks. Students still struggle to locate the Polygon Formula solved examples, even though textbooks are a great source of study material. The Extramarks solved examples are precise and thorough. Additionally, it gives students access to a thorough educational programme that combines the advantages of inperson instruction with those of study aids like the Polygon Formula solved examples.
The Polygon Formula solved examples to teach students about acceptable mathematical concepts are provided by Extramarks. Students will gain knowledge of logical word and phrase connections. It includes conditions that must be satisfied, if and only if statements, and more. Students’ understanding of the chapter’s mathematical reasoning principles is reinforced throughout Polygon Formula solved examples. In order to make its website the best online learning platform that helps students with their studies and exam preparation, Extramarks uses a threepronged method of LearnPracticeTest. Students who have enrolled on the Extramarks website are given chapterbychapter, stepbystep solutions.
FAQs (Frequently Asked Questions)
1. Is it possible to divide every polygon into triangles?
The most surprising and significant characteristic of triangles is their ability to divide any polygon into triangles by merely drawing its diagonals. This statistic serves as the foundation for understanding why polygonal interior angles sum to 180(n2) degrees.
2. Is a triangle always a polygon?
Any twodimensional shape made of straight lines is called a polygon. Polygons include shapes like triangles, quadrilaterals, pentagons, and hexagons. The shape’s number of sides is indicated by the name. A quadrilateral has four sides, whereas a triangle has three. Study material and learning resources on the Polygon Formula are available on the Extramarks website and mobile application.