What Is The Name Of The Shape With 10 Sides?
Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of objects, and properties of space. Shapes are one of the fundamental concepts in geometry, and they come in different sizes and forms. One of the shapes that have always puzzled mathematicians, students, and curious minds alike is the shape with 10 sides. In this article, we will explore this shape in detail, its properties, and its name.
What is a Polygon?
A polygon is a two-dimensional closed shape that has three or more straight sides and angles. Polygons are classified based on the number of sides they have. For instance, a polygon with three sides is called a triangle, while a polygon with four sides is called a quadrilateral. Polygons with five sides are called pentagons, while polygons with six sides are called hexagons. The pattern continues up to polygons with ten sides.
The Shape with 10 Sides
The shape with ten sides is called a decagon. It is a polygon that has ten straight sides and angles. The word decagon comes from the Greek words 'deka,' meaning ten, and 'gonia,' meaning angle. A decagon is also a regular polygon, meaning that all its sides and angles are equal in measure.
Properties of a Decagon
A decagon has several properties that distinguish it from other polygons. Some of these properties include:
- It has ten sides and angles
- All its sides are equal in length
- All its angles are equal in measure
- It has 35 diagonals that connect any two non-adjacent vertices
- The sum of its interior angles is 1440 degrees
- The sum of its exterior angles is 360 degrees
Examples of Decagons
Decagons can be found in various places in our daily lives. Some of the examples of decagons include:
- Stop signs - Stop signs have a regular decagon shape with a white border and red background.
- Coins - Some coins, such as the United States dimes, have a decagon shape.
- Flowers - Some flowers, such as daffodils, have a decagon shape when viewed from the top.
How to Find the Area of a Decagon
Computing the area of a decagon can be challenging, especially if you do not know how to go about it. However, with the right formula, finding the area of a decagon can be easy. The formula for finding the area of a regular decagon is:
Area of a Decagon = (5/4) x s² x √(5 + 2√5)
Where s is the length of the side of the decagon.
How to Find the Perimeter of a Decagon
The perimeter of a decagon is the total length of its sides. To find the perimeter of a decagon, you need to sum up the length of all its sides. The formula for finding the perimeter of a regular decagon is:
Perimeter of a Decagon = 10 x s
Where s is the length of the side of the decagon.
Conclusion
Shapes are an essential part of mathematics and our daily lives. The shape with 10 sides, also known as a decagon, is a fascinating shape that has several properties and applications. In this article, we have explored what a decagon is, its properties, examples of decagons, and how to find its area and perimeter. Understanding the properties of a decagon can help us appreciate the beauty of mathematics and its applications in our daily lives.
So, the next time you see a stop sign or a coin with a decagon shape, you will know what it is and its properties.
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