What Is A 10 Sided 2D Shape Called?

Februari 11, 2025 Posting Komentar

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Geometry is a branch of mathematics that deals with the study of shapes, sizes, and positions of objects in space. In geometry, two-dimensional shapes are those that have only two dimensions: length and width. One of the most interesting two-dimensional shapes is the ten-sided polygon. But what is a 10 sided 2D shape called? Let's explore this topic in detail.

The Definition of a 10 Sided 2D Shape

A ten-sided polygon is a two-dimensional figure that has ten straight sides and ten angles. It is also called a decagon. The word "decagon" comes from the Greek word "deka," which means ten, and "gonia," which means angle. Therefore, a decagon is a polygon with ten angles and ten sides.

The Properties of a Decagon

Like all polygons, a decagon has certain unique properties that make it different from other shapes. Here are some of the essential properties of a decagon:

A decagon has ten sides

A decagon has ten angles

A decagon has an interior angle sum of 1440 degrees

A decagon has 35 diagonals

All the interior angles of a decagon are acute angles

Types of Decagons

There are different types of decagons, depending on their properties. Here are some of the types of decagons:

Regular Decagon: A regular decagon has all its sides and angles equal.

Irregular Decagon: An irregular decagon has sides and angles of different lengths and sizes.

Convex Decagon: A convex decagon has all its interior angles less than 180 degrees.

Concave Decagon: A concave decagon has at least one of its interior angles greater than 180 degrees.

Uses of Decagons

Decagons are not just mathematical concepts. They are also used in various fields such as architecture, art, and design. Here are some of the uses of decagons:

In Architecture: Decagons are used in the design of buildings, such as the Pentagon building in the United States.

In Art: Decagons are used in creating patterns and designs in art and crafts.

In Design: Decagons are used in designing logos, emblems, and other graphic designs.

How to Calculate the Interior Angle of a Decagon

The interior angles of a decagon can be calculated using the formula:

Interior Angle = (n-2) x 180 / n degrees

Where n is the number of sides of the polygon.

For a decagon, the interior angle can be calculated as:

Interior Angle = (10-2) x 180 / 10 = 144 degrees

Conclusion

Decagons are fascinating shapes that have ten sides and angles. They have unique properties that make them different from other polygons. Decagons are used in various fields such as architecture, art, and design. The formula for calculating the interior angle of a decagon is (n-2) x 180 / n degrees. Understanding the properties and uses of decagons can help us appreciate the beauty of geometry and its applications in our daily lives.