What Is A Shape With Ten Sides Called?
Geometry is a fascinating subject that deals with shapes, sizes, positions, and dimensions of objects in space. Shapes are one of the fundamental concepts in geometry, and they come in various forms and structures. In this article, we will explore one particular shape that has ten sides and learn its name and properties.
The Shape with Ten Sides: Introduction
Before we dive into the details of the shape with ten sides, let us first understand the basics of shapes and polygons. A polygon is a closed figure with straight sides that do not cross over each other. Polygons can have any number of sides, and each side connects two adjacent vertices. Some common examples of polygons are triangles, quadrilaterals, pentagons, hexagons, and so on.
A shape with ten sides is called a decagon. The word "decagon" comes from the Greek words "deka" meaning ten and "gonia" meaning angles. A decagon has ten vertices and ten sides, and each angle in a decagon measures 144 degrees.
The Properties of a Decagon
A decagon has several unique properties that set it apart from other polygons. Let us take a look at some of its characteristics:
1. Interior angle: The interior angles of a decagon add up to 1440 degrees. Each angle measures 144 degrees.
2. Exterior angle: The exterior angles of a decagon add up to 360 degrees. Each angle measures 36 degrees.
3. Diagonal: A decagon has 35 diagonals, which are line segments that connect non-adjacent vertices.
4. Symmetry: A regular decagon has ten lines of symmetry, which divide the shape into congruent halves.
5. Area: The area of a decagon can be calculated by dividing it into ten triangles and finding the sum of their areas. The formula for the area of a decagon is 1/2 × apothem × perimeter, where apothem is the distance from the center of the decagon to its sides, and the perimeter is the sum of all its sides.
Types of Decagons
Decagons can be classified into two types: regular and irregular. A regular decagon has ten equal sides and angles, while an irregular decagon has sides and angles of different lengths and measures.
1. Regular Decagon: A regular decagon is a symmetrical polygon with ten equal sides and angles. It has ten lines of symmetry and can be inscribed in a circle. The formula for the measure of each interior angle of a regular decagon is (n-2) × 180/n, where n is the number of sides.
2. Irregular Decagon: An irregular decagon is a polygon with ten sides and angles of different lengths and measures. It does not have any lines of symmetry, and its sides and angles can vary in size and shape.
Real-Life Examples of Decagons
Decagons are not just theoretical shapes; they can be found in various real-life objects and structures. Here are some examples:
1. Soccer ball: A soccer ball is made up of twelve pentagons and twenty regular hexagons, which form a truncated icosahedron. Each pentagon is surrounded by five hexagons, and each hexagon is surrounded by three pentagons and three hexagons.
2. Traffic signs: Some traffic signs, such as stop signs and yield signs, are in the shape of an octagon. However, some warning signs, such as the railroad crossing sign, are in the shape of a decagon.
3. Architecture: Decagons can be found in the design of many buildings and structures, such as the Pentagon in Washington D.C. and some Islamic mosques with ten-sided domes.
Conclusion
In conclusion, a shape with ten sides is called a decagon. It is a polygon with ten vertices and angles of 144 degrees. A decagon has several unique properties, such as ten lines of symmetry and 35 diagonals. It can be classified into two types: regular and irregular. Decagons are not just theoretical shapes; they can be found in various real-life objects and structures, such as soccer balls, traffic signs, and buildings.
Geometry is a fascinating subject that can help us understand the world around us better. By learning about shapes and polygons, we can appreciate the beauty and complexity of our surroundings and apply this knowledge in various fields, such as architecture, engineering, and science.
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