A Polygon With 6 Sides

What is a Hexagon?

In geometry, a hexagon tin be divers as a closed two-dimensional polygon with six sides.

Hexagon has vi vertices and 6 angles also.

Hexa means vi and gonia means angles.

Examples

Non – Examples

Hexagon in Existent Life

We can find the shape of a hexagon in a honeycomb, a football, face up of pencil, and floor tiles.

Hexagon around united states of america

Types of Hexagons

Hexagonal shape is classified into several types based on the measure of sides and angles.

Classification of hexagons based on their sides

1. Regular Hexagon

When the length of all the sides and measure of all the angles are equal, it is aregular hexagon. All interior angles of a regular hexagon are 120 degrees each.

Backdrop of a Regular Hexagon

All the sides are equal in length.
All the interior angles mensurate 120°.
All the outside angles measure 60°.
Since all angles are equal in a regular hexagon, each angle is 120^o and the sum of all the interior angles is 720^o.

A regular hexagon tin can be divided into half dozen equilateral triangles.

The opposite sides of a regular hexagon are parallel to each other.

A regular hexagon is also a convex hexagon.

Symmetry in regular hexagon:

A regular hexagon has 6 lines of symmetry and a rotational symmetry of order half-dozen

half-dozen lines of symmetry

Vi 60° angles of rotation

2. Irregular Hexagon

In an irregular hexagon, the length of sides and measure out of angles practice not have the aforementioned measure.

Classification of hexagons based on their angles

1. Convex Hexagon

For convex hexagons, all of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards. Convex hexagons can be regular or irregular.

2. Concave Hexagon

For concave hexagons, at least one of its interior angles must be greater than 180° and at least i of its vertex points inwards.

Backdrop of Hexagon

It is two-dimensional.
It has six sides, half dozen edges and six vertices.
The sum of the interior angles is 720 degrees.
Information technology has nine diagonals.

Perimeter of a Hexagon:

The perimeter of a hexagon is the sum of the length of all vi sides.

Perimeter = AB + BC + CD + DE +EF + FA

In regular hexagons, all sides are equal in length. So, the perimeter of a regular hexagon is six times the length of one side.

Perimeter = a + a + a + a + a + a = via

Solved Examples on Hexagon:

Instance 1: Observe the perimeter of a regular hexagon having each side measure xx cm.

Solution:

Perimeter of regular hexagon = 6 × length of side

= 6 × xx cm

= 120 cm

Then, the perimeter of the hexagon is 120 cm.

Example two: The perimeter of a regular hexagon is 36 cm. What is the length of its sides?

Solution:

Perimeter of regular hexagon = 6 × length of side

36 = 6 × length of side

Length of side = 366 cm = 6 cm

Then, the length of its sides is half-dozen cm.

Instance 3: Five angles of a hexagon measure 110° each. What is the measure out of the sixth angle?

Solution:

Sum of the interior angles in hexagon = 720°

Sum of five angles = 5 × 110° = 550°

Sixth bending = 720° – 550° = 170°

So, the measure of the sixth angle is 170°.

Do Issues

Hexagon

Attend this Quiz & Exam your knowledge.

sixty^°

100^°

120^°

720^°

Correct respond is: 120^°
The sum of the interior angles of a hexagon is 720^° For a regular hexagon all the sides are of the same length and all interior angles are equal. And then, each interior angle= 720/6 = 120^° So, the mensurate of the interior angle of a regular hexagon is 120^°.

pentagon

hexagon

heptagon

octagon

Right answer is: hexagon
Hexagon is a 2 dimensional polygon with six sides.

xc^°

less than 90^°

more than than xc° and less than 180^°

more 180^°

Correct answer is: more than than 180^°
more than 180^° For convex hexagons, all of its interior angles must exist less than 180 degrees. For concave hexagons, at least 1 of its interior angles must be greater than 180^°.

half dozen

Right answer is: 6
A regular hexagon has 6 lines of symmetry. In a regular polygon the lines of symmetry are equal to the number of sides. And then there will exist 6 lines of symmetry for a regular hexagon.

Frequently Asked Questions

How many types of hexagons are in that location?

At that place are four types of hexagons. These are regular hexagons, irregular hexagons, concave hexagons, and concave hexagons.

What are the 3 characteristics of a hexagon?

Hexagon has half-dozen sides, 6 angles and six vertices.

What is the sum of all interior angles of a hexagon?

The sum of all interior angles of a hexagon is 720°.

How many diagonals does a hexagon have?

A hexagon has nine diagonals.

Does a hexagon always have equal sides?

No, hexagons can accept sides with dissimilar lengths. Regular hexagon has all sides are equal in length.

Are all six-sided shapes hexagon?

Yes, all 6 sided shapes are called hexagons.