MathsRegular Polygon – Definition, Formula, Examples, and FAQs

Regular Polygon – Definition, Formula, Examples, and FAQs

Introduction to Regular Polygon

Regular Polygon – Definition: A regular polygon is a polygon with all sides and angles equal. A regular polygon has six faces, eight angles, and twelve sides. A regular polygon is a polygon that has all of its sides and angles equal. A regular polygon is also equilateral, meaning that all of its angles are 60 degrees.

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    Regular Polygon - Definition, Formula, Examples, and FAQs

    Definition of Regular Polygon

    A Regular Polygon is a polygon that has all sides of the same length and all angles of the same measure.

    Regular Polygon Examples

    A regular polygon is a polygon that has all of its sides and angles equal. There are only a few regular polygons, and they are all simple shapes.

    The regular polygons are:

    • The triangle
    • The square
    • The pentagon
    • The hexagon
    • The heptagon
    • The octagon
    • The nonagon
    • The decagon

    Properties of Regular Polygons

    A regular polygon is a polygon that has all of its sides and angles equal.

    Regular and Irregular Polygons

    Regular polygons have all angles equal and all sides equal. Irregular polygons do not have all angles equal and/or all sides equal.

    Different Diagram of an Irregular Polygon

    A diagram of an irregular polygon is a visual representation of the shape of the polygon. The diagram typically includes the vertices (corners) of the polygon, and may also include information about the lengths of the sides and angles between the sides.

    Types Of Irregular Polygon

    There are three types of irregular polygons:

    1. A polygon that has more than three sides is an irregular polygon.

    2. A polygon that does not have sides that are all the same length is an irregular polygon.

    3. A polygon that does not have angles that are all the same size is an irregular polygon.

    Simple or Complex Polygon?

    A complex polygon is a polygon with more than three sides.

    Parts of Regular Polygons

    There are only a few types of regular polygons.

    • A regular polygon has equal sides and angles. The number of sides is called the “order” of the polygon.
    • The most common regular polygons are the triangle, square, and pentagon.
    • There are also hexagons, octagons, and dodecagons.

    Regular Polygons List

    The following is a list of polygons that are considered to be regular.

    Regular Polygon Angles

    • A polygon is a closed plane figure that is composed of line segments that are connected to each other at their endpoints. A polygon has at least three sides, and the line segments that make up a polygon are called its sides or edges.
    • The angles of a polygon are the angles between two adjacent sides. The sum of the angles of a polygon is always 360 degrees.
    • The angles of a regular polygon are all the same size, and the sides of a regular polygon are all the same length.

    Interior Angles of a Regular Polygon

    A regular polygon is a polygon with all angles equal and all sides equal. The interior angles of a regular polygon are all the angles inside the polygon, not including the angles on the outside.

    Formulas of Regular Polygon

    A regular polygon is a polygon in which all sides are the same length and all angles are the same size. The following are the formulas for the area and perimeter of a regular polygon.

    Area:

    Perimeter:

    Where “n” is the number of sides of the polygon.

    Formula to Find the Number of Diagonals of a Polygon

    The number of diagonals of a polygon is the sum of the number of diagonals in each side.

    Area of a Regular Polygon

    The area of a regular polygon is equal to the product of the length of its side and the height of its perpendicular bisector.

    Formula to Find the Perimeter of a Regular Polygon

    The perimeter of a regular polygon is the sum of the lengths of its sides.

    About Polygons

    A polygon is a two-dimensional figure that has at least three sides. The sides of a polygon are called its edges, and the points where two edges meet are called its vertices.

     

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