What Shape Has 10 Sides Called?
Geometry is a fascinating branch of mathematics that deals with the properties and relationships of shapes, sizes, and positions of objects in space. One of the most interesting shapes in geometry is the polygon, which is a closed two-dimensional figure with straight sides.
What is a Polygon?
A polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. Polygons can have any number of sides, but the most common ones are the triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, and decagon. These shapes are classified based on the number of sides they have, with the triangle having three sides and the decagon having ten sides.
What Shape Has 10 Sides Called?
The shape with ten sides is called a decagon. The term "decagon" comes from the Greek words "deka," which means "ten," and "gonia," which means "angle." A decagon has ten sides of equal length and ten angles of equal measure. Each angle in a regular decagon measures 144 degrees, and the sum of all the angles is 1,440 degrees.
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 measures. Regular decagons are also known as convex decagons because all of their interior angles are less than 180 degrees, and their sides do not intersect. Irregular decagons, on the other hand, can have intersecting sides and angles that are greater than 180 degrees.
Properties of a Decagon
Decagons have several properties that make them unique from other polygons. Some of these properties include:
- A decagon has ten sides and ten angles.
- The sum of all the interior angles in a decagon is 1,440 degrees.
- Each angle in a regular decagon measures 144 degrees.
- Each exterior angle in a decagon measures 36 degrees.
- A regular decagon can be inscribed in a circle, meaning that all of its vertices lie on the circumference of a circle.
- The area of a regular decagon can be calculated using the formula A = (5/4) × s² × (1 + √5), where s is the length of the side.
Real-Life Examples of a Decagon
Decagons can be found in various real-life objects and structures. Some examples include:
- The United States one-cent coin, also known as the penny, has a regular decagon shape on the back.
- The shape of a soccer ball is made up of 12 regular pentagons and 20 regular hexagons, which can be combined to form a regular truncated icosahedron, a three-dimensional shape with 32 faces, including 10 regular decagons.
- The Pentagon building in Washington D.C. has a five-sided shape that is made up of five equilateral triangles, which can be combined to form a regular decagon. The building is named after its shape and is the headquarters of the United States Department of Defense.
Conclusion
In conclusion, a shape with ten sides is called a decagon. Decagons are fascinating shapes with several unique properties that make them distinct from other polygons. They can be regular or irregular and can be found in various real-life objects and structures, from coins to buildings. Understanding the properties and characteristics of decagons can help us appreciate the beauty and complexity of geometry and the world around us.
So, the next time you come across a ten-sided shape, you will know that it is a decagon!
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