In the circle is formed by touching all the sides of the polygon.Inside circle of a polygon is called in-circle.Circum circle is formed by touching all the vertices in the polygon.The outside circle of a polygon is circumcircle.The radius of outer circle of a polygon is (a/2) × cosec (180°/n)Ĭircumcircle, In-Circle, Radius, and Apothem of Polygon.The radius of inner circle of a polygon is (r).Area of a polygon = (na 2 /4 )×cot(/n).Each angle at the center formed by the intersection of lines from any side of a polygon is 360°/n.Number of diagonals of a polygon is / 2.The Sum of exterior angles of a polygon is (n-2) × 180° / n.Sum of interior angles of a polygon is (n-2) × 180°.Each exterior angle of a polygon = /n (or).Each exterior angle of polygon = (360°/n) or.Interior angles are A, B, C, D, E, and F.Įach interior angle of the hexagon is 120°. So, interior angle = 180° – exterior angle.ĪBCDEF is a regular hexagon of sides ‘6’. The Sum of an interior angle and exterior angle is equal to 180°. The Interior angle is an angle formed by two sides of a polygon that share one common point as vertices. Each exterior angle of a polygon = 360° / number of sides of the polygonĮach exterior angle of the hexagon is 60°.The Sum of all the exterior angles of a polygon is equal to 360°.Irregular pentagon Angles in a PolygonĪn exterior angle is an angle formed by any side of the polygon and a line extended from the next side. The regular pentagon is a regular polygon.įor an irregular polygon, all the sides have different lengths and all the angle measurements are unequal.Įx. They are regular polygons and irregular polygons.įor a regular polygon, all the side’s length is equal and all the angles are also equal. For a regular polygon, all the sides are equal. Polygon is a 2-dimensional shape bounded by three or more finite number of straight lines. Two pairs of sides have equal sides and these sides are adjacent to each other.ĪB = AD is one pair of sides and AB, AD adjacent to each other.īC = CD is another pair of sides and BC, CD are adjacent to each other.Īngles formed by these two pairs of sides are equal.ĭiagonals bisect each other at right angles. Two sides are parallel and the other two sides are not parallel AB || OC but AB≠DC.Ī kite is a quadrilateral with two pair of equal length sides which are adjacent to each other. The quadrilateral in which a pair of opposite sides are parallel to each other but they are not equal, that is a trapezium. ∠A + ∠B = 180° = ∠B + ∠C = ∠C + ∠D = ∠D + ∠AĪ parallelogram is a special kind of rectangle with opposite sides parallel and equal in length, opposite angles are equal, adjacent angles sum equal to 180°, and diagonals bisect each other. Rhombus is a special kind of square with all sides equal, opposite sides parallel, and diagonals bisect each other at 90°.ĪB = BC = CD = AD AB || CD and BC || AD. Lets have a look at some of the properties of 5 quadrilaterals: Parallelogram Rectangles.
The quadrilateral with opposite sides length equal and every angle equal to 90˚ is a rectangle.ĭiagonals AC and BD bisect each other at 90°. The interior angles of a quadrilateral will be equal to 360 degrees. All the properties of the rhombus and rectangle will be satisfied for the square. Special types of quadrilaterals include squares and rectangles. Square is a special kind of rhombus and rectangles. classification of the geometric shapes that are used. Diagonals of a square are equal in length and cut each other at 90°.Īngles of a square are equal and 90°. The quadrilateral with all-sided equal and every angle equal to the right angle is a square.
∠A+∠B+∠C+∠D =360° Different Types of Quadrilaterals and Their Properties Quadrilateral DefinitionĪ quadrilateral is a closed polygon bounded by four straight lines.Ī quadrilateral consists of four sides, four edges, and four vertices or corners. Types of polygons and Types of Quadrilaterals with Properties of kite Quadrilateral are also explained. Use the fact that parallelograms have two pairs of equal angles to calculate the missing angles in this question.Types of Quadrilaterals and Their Properties: Different types of quadrilaterals are explained below with their properties. Often we can also use the other properties of a shape to work out more missing angles.
This fact is a more specific example of the equation for calculating the sum of the interior angles of a polygon: The sum of interior angles in a quadrilateral is 360°.
0 kommentar(er)
