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A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular"). This is a regular pentagon (a 5-sided polygon). Play with polygons below:
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- What Is A polygon?
- Parts of A Polygon
- What Are Regular polygons?
- Properties of Regular Polygons
- Perimeter of A Regular Polygon
- Sum of Interior Angles of A Regular Polygon
- Measure of Each Interior Angle of A Regular Polygon
- Measure of Each Exterior Angle of A Regular Polygon
- Number of Diagonals of A Regular Polygon
- Number of Triangles of A Regular Polygon
A two-dimensional enclosed figure made by joining three or more straight lines is known as a polygon. They are also known as “flat figures”. Example: A square is a polygon with made by joining 4 straight lines of equal length.
A polygon has three parts: 1. Sides: A line segment that joins two vertices is known as a side. 2. Vertices: The point at which two sides meet is known as a vertex. 3. Angles: interior and exterior. An interior angle is the angle formed within the enclosed surface of the polygon by joining the sides.
If all the polygon sides and interior angles are equal, then they are known as regular polygons. The examples of regular polygons are square, equilateral triangle, etc. In regular polygons, not only are the sides congruent but so are the angles. That means they are equiangular.
The properties of regular polygons are listed below: 1. All its sides are equal. 2. All its interior angles are equal. 3. The sum of its exterior angles is 360°.
A regular polygon has all the sides equal. And the perimeter of a polygonis the sum of all the sides. So, a regular polygon with n sides has the perimeter = n times of a side measure. For example, if the side of a regular polygon is 6 cm and the number of sides are 5, perimeter = 5 ✕ 6 = 30 cm
Let there be a n sided regular polygon. Since, the sides of a regular polygon are equal, the sum of interior angles of a regular polygon = (n − 2) × 180° For example, the sides of a regular polygon are 6. So, the sum of interior angles of a 6 sided polygon = (n − 2) × 180° = (6 − 2) × 180° = 720°
Since a regular polygon is equiangular, the angles of n sided polygon will be of equal measure. A n sided polygon has each interior angle = Sumofinterioranglesn=(n−2)×180∘n For example, let’s take a regular polygon that has 8 sides. So, each interior angle = (8−2)×180∘8=135∘
There are n equal angles in a regular polygon and the sum of an exterior angles of a polygon is 360∘. So, the measure of each exterior angle of a regular polygon = 360∘n.
The number of diagonals in a polygon with n sides = n(n−3)2as each vertex connects to (n – 3) vertices. And in order to avoid double counting, we divide it by two. For example, if the number of sides of a regular regular are 4, then the number of diagonals = 4×12=2.
If the sides of a regular polygon are n, then the number of triangles formed by joining the diagonalsfrom one corner of a polygon = n – 2 For example, if the number of sides are 4, then the number of triangles formed will be (4 – 2) = 2.
If all the sides and interior angles of the polygons are equal, they are known as regular polygons. The examples of regular polygons are square, rhombus, equilateral triangle, etc. In regular polygons, not only the sides are congruent but angles are too. That means, they are equiangular.
- A polygon possessing equal sides and equal angles is called a regular polygon. Square is an example of a regular polygon with 4 equal sides and equ...
- A regular polygon is a polygon with congruent sides and equal angles. The examples of regular polygons include equilateral triangle, square, regula...
- If the given polygon contains equal sides and equal angles, then we can say that the given polygon is regular; otherwise, it is irregular.
- In geometry, a 4 sided shape is called a quadrilateral. In other words, a polygon with four sides is a quadrilateral. Some of the examples of 4 sid...
- A right angle concave hexagon can have the shape of L.
- A polygon is a simple closed two-dimensional figure with at least 3 straight sides or line segments. A regular polygon is a type of polygon with eq...
Polygons for kids. Learn how they work, terms, tricks and examples. Regular, convex, concave, complex, and more.
Regular Polygons – Polygons that have equal sides and angles are regular polygons. For example, an equilateral triangle is a three-sided regular polygon. A square is a four-sided regular polygon. A Regular hexagon is a six-sided regular polygon. Here are a few examples of regular polygons.
A regular polygon is a closed, straight-sided figure that has equal side and angle measurements. If a polygon does not have all equal sides and interior angles, it is an irregular polygon. For example, The table below gives examples of regular polygons: What are regular polygons? [FREE] 2D Shape Worksheet (Grade 2 to 4)
Sep 15, 2020 · A polygon is a plane figure described by a closed, polygonal line. Polygons are formed by several parts: sides, vertices, angles and diagonals. Also, they can be regular (all sides...
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