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    How Many Diagonals Does a Hexagon Have
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    • How Many Diagonals Does a Hexagon Have

    How Many Diagonals Does a Hexagon Have

    Team Careers360Updated on 24 Mar 2023, 04:42 PM IST

    Introduction

    A closed figure made up of lines is called a polygon. We can classify the polygon on the basis of the number of sides. The minimum number of sides of the polygon is three. A polygon has sides, faces, edges, and vertices. All polygons with different numbers of sides have different properties.

    Hexagon

    A two-dimensional closed figure with six sides is called a hexagon. The honeycomb is the next example of the nature of the hexagon shape. A hexagon has 6 sides, 6 vertices, 6 angles, and 6 faces. By adding six sides to the hexagon we can find the perimeter of the hexagon.

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    Types of Hexagon

    The hexagon can be classified based on sides and on the basis of angles.

    Hexagon on the basis of sides;

    • Irregular Hexagon

    A hexagon with irregular sides is called an irregular hexagon. All angles and sides of irregular hexagons are not the same.

    • Regular Hexagon

    A hexagon with regular sides is called a regular hexagon. All angles and sides of a regular hexagon are the same. Each angle is 60°.

    Hexagon based on the side;

    • Convex Hexagon

    A hexagon with vertices pointing in an outward direction is called a convex hexagon. All interior angles of the convex hexagon are less than 180°.

    • Concave Hexagon

    A hexagon with at least one vertex pointing inward is called a concave hexagon. At least one e of the concave hexagon is more than 180°.

    3. Diagonals

    The opposite of the polygon is connected by the line called the diagonal. We can also say diagonals connect two non-adjacent sides of the polygons.

    Diagnosis is the root word for the diagonal. Diagnosis is a Greek word that means angle to angle.

    There is a common formula for finding the diagonal of all types of the polygon.

    The formula for finding the diagonal is;

    (n2-3n)/2

    n is the number of the sides of the polygon.

    Diagonal of the Hexagon

    Hexagon has a six sides, so n=6

    \begin{aligned}

    & (n^{^{2}}-3\times n)\div 2

    \\&=(6^{^{2}}-3\times 6)\div 2

    \\&=9

    \end{aligned}

    1679655998256

    Frequently Asked Questions (FAQs)

    Q: Name the polygon with eight sides.
    A:

    Octagon has eight sides.

    Q: Write the two properties of the pentagon.
    A:

    The two properties of the hexagon;

    1. The Pentagon has five sides.

    2. The sum of all angles of the pentagon is 540°.

    Q: What is the line of symmetry of the regular hexagon?
    A:

    Regular hexagon has 6 lines of symmetry.

    Q: What is the total sum of all the angles of the hexagon?
    A:

    The sum of all the angles of the hexagon is 720°.

    Q: How many edges does the hexagon have?
    A:

    Hexagons have 6 edges.

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