Sum of the interior angles of a polygon = (N – 2) × 180° Where N is sides and S is the length from the centre to a corner. FormulasĪrea of a regular polygon = (1/2) N sin(360°/N) S 2 A regular pentagon is a prime type of pentagon polygon. It is important to note that, the five sides of the polygon stay equal in length. Pentagon polygons are six-sided polygons. There are different versions of a quadrilateral polygon such as square, parallelogram and rectangle. Quadrilateral polygonįour-sided polygon or quadrilateral polygon is quite common. Moreover, the vertices associated to a convex polygon are always outwards. Such a polygon is the exact opposite of a concave polygon. The measure of the interior angle stays less than 180 degrees for a convex polygon. Also, the vertices of a concave polygon are both inwards and outwards. Concave polygonĪ concave polygon is that under which at least one angle is recorded more than 180 degrees. Be it the sides or the angles, nothing is equal as compared to a regular polygon. These are those polygons that aren’t regular. Furthermore, all the interior angles remain equivalent. Regular polygonĬonsidering a regular polygon, it is noted that all sides of the polygon are equal. Some of the most well-known polygons are triangles, squares, rectangles, parallelograms, pentagons, rhombuses, hexagons etc. Some of the prime categories of polygons include regular polygons, irregular polygons, concave polygons, convex polygons, quadrilateral polygons, pentagon polygons and so on. But is there more to it? Yes! Of course, there is! The polygons are categorized into different types depending on the number of sides together with the extent of the angles.
#POLYGON GEOMETRY DEFINITION PDF#
Browse more Topics under Mensurationĭownload Mensuration Cheat Sheet PDF Below So, any shape that can be drawn by connecting three straight lines is called a triangle, and any shape that can be drawn by connecting four straight lines is called a quadrilateral. The interesting aspect is that the name of a polygon highlights the number of sides it possesses.įor example, a triangle has three sides, and a quadrilateral has four sides.
Be it quadrilaterals or triangles and pentagons, these are all perfect examples of polygons. Q10.One angle of a pentagon is 140°.In simple mathematics, a polygon can be any 2-dimensional shape that is formed with straight lines. Q9.The sum of all exterior angles of a convex polygon of n sides is : Q8.The sum of the interior angles of the polygon is 1440°. Q7.The ratio of the measure of an interior angle of a regular octagon to the measure of its exterior angle is :
The ratio of the measure of an angle of a regular nonagon to the measure of its exterior angle is : The sum of all the interior angles of a regular polygon is four times the sum of its exterior angles. The number of sides of these polygons are respectively : The ratio between the number of sides of two regular polygon 1 : 2 and the ratio between their interior angle is 3 : 4. If each interior angle of a regular polygon is 3 times its exterior angle, the number of sides of the polygon is : The number of sides of these polygons is respectively: Q1.The ratio between the number of sides of two regular polygons is 1: 2 and the ratio between their interior angles is 2 : 3. The below figures show Regular and Irregular Polygons:
Regular Polygon- The polygon which has equal sides and equal angles.The points where the 2 straight lines meet are called vertices. A circle is not a polygon as it has a curved shape. 2-dimensional shapes like Rectangles, squares, etc are categorized under polygons. You must know about the definition, shape, types, formula, and examples of a polygon by reading the article given below.Ī polygon is an enclosed shape with straight lines. Polygon means all the closed shapes with straight-line figures come under the category of a polygon. Polygons are 2-dimensional shapes made up of straight lines and enclosed within sides. Click Here For Study Notes on Quantitative Aptitude For SSC CGL.Important Formulae Related to Regular Polygon :.
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