Octagon – Infinity Learn

Octagon

Octagon – Infinity Learn: is an eight-sided shape that is used in many different ways. It can be found in buildings, as well as in nature. The octagon has many interesting properties that make it a unique shape.

• One of the most interesting properties of the octagon is that its sides are all the same length. This is unusual because most shapes have different side lengths. This makes the octagon very symmetrical.
• Another interesting property of the octagon is that it is a perfect square. This means that if you fold an octagon in half, the two halves will match up perfectly.
• The octagon is also very stable. This means that it is difficult to knock it over. This is because the octagon has eight points of contact with the ground.
• The octagon is often used in buildings. It is a popular shape for roofs because it is very strong and stable. The octagon can also be used to create interesting patterns in designs.
• The octagon can also be found in nature. For example, the eight-pointed star is often found in flowers. This is because the eight-pointed star is very symmetrical and stable.

Types of Polygons

A polygon is a two-dimensional shape that is formed by a closed curve. A polygon has at least three sides and three angles. Polygons can be classified by the number of sides they have.

• A triangle has three sides and three angles.
• A quadrilateral has four sides and four angles.
• A pentagon has five sides and five angles.
• A hexagon has six sides and six angles.
• A heptagon has seven sides and seven angles.
• An octagon has eight sides and eight angles.
• A nonagon has nine sides and nine angles.
• A decagon has ten sides and ten angles.

In General, A Polygon with ‘n’ Sides Has

A polygon with ‘n’ sides has ‘n’ vertices, ‘n-2’ edges, and ‘n/2’ diagonals.

Definition of Octagon

It is an eight-sided polygon. It has eight vertices, eight angles, and eight sides.

Shapes of Octagons

There are six shapes of octagon.

The six shapes of octagon are as follows:

• Regular octagons
• Square octagons
• Pentagonal octagons
• Hexagonal octagons
• Heptagonal octagons
• Octagonal prism

Regular Octagons

This is the most common type of octagon. It has 8 equal sides and 8 angles.

Properties of Octagons

1. A polygon with eight sides and eight angles.

2. Each side is the same length.

3. The angles are all the same size.

4. It is a regular polygon.

The Perimeter of an Octagon

The perimeter of an octagon is 8√2 units.

Area of an Octagon

The area of an octagon is (1/2) × the perimeter × the apothem.

Examples of an Octagon in Our Day to Day Lives Include –

Some examples of an octagon in our day to day lives include a stop sign, a octagon-shaped cake, and a Rubik’s Cube.

Properties of an Octagons

The properties of an octagon are that it is a polygon with eight sides and eight angles. It is also a convex shape.

Types of an Octagons

There are eight types of an octagon. The eight types of an octagon are regular, equilateral, isoceles, right, acute, obtuse, reflex, and diamond.

Certain Concepts that are Related to the Study of Octagons are as Follows-

• Polygons
• Regular polygons
• Irregular polygons
• Convex polygons
• Concave polygons
• Inscribed angles
• Central angles
• Angles at the center
• Vertex angles
• Sum of angles in a polygon
• Interior angles