What Is A 10 Sided Polygon Called?
In geometry, a polygon is a closed two-dimensional shape that is formed by three or more straight lines. A polygon with 10 sides is called a 10-sided polygon or a decagon. In this article, we will explore the characteristics and properties of a 10-sided polygon in more detail.
Characteristics of a 10-Sided Polygon
A 10-sided polygon is a regular polygon, which means that all of its sides and angles are equal. In addition, a 10-sided polygon has:
- 10 vertices (corners)
- 10 sides
- 10 interior angles
- 30 diagonals (lines that connect non-adjacent vertices)
Each interior angle of a 10-sided polygon is 144 degrees, while each exterior angle is 36 degrees. The sum of the interior angles of any polygon with n sides (including a 10-sided polygon) is (n-2) x 180 degrees, which means that the sum of the interior angles of a 10-sided polygon is 1440 degrees.
Properties of a 10-Sided Polygon
A 10-sided polygon has several noteworthy properties:
- It is a regular polygon, which means that all of its sides and angles are equal.
- It has 10 vertices (corners) and 10 sides.
- It has 30 diagonals (lines that connect non-adjacent vertices).
- Each interior angle of a 10-sided polygon is 144 degrees, while each exterior angle is 36 degrees.
- The sum of the interior angles of a 10-sided polygon is 1440 degrees.
How to Calculate the Interior Angles of a 10-Sided Polygon
To calculate the interior angles of a 10-sided polygon, you can use the formula:
Interior angle = (n-2) x 180 / n
Where n is the number of sides in the polygon. For a 10-sided polygon, the formula becomes:
Interior angle = (10-2) x 180 / 10 = 144 degrees
Real-World Applications of 10-Sided Polygons
10-sided polygons are commonly used in architecture, design, and engineering. For example, many soccer balls and dodecahedrons (a three-dimensional shape with 12 regular pentagonal faces) are made up of 10-sided polygons. In addition, 10-sided polygons can be used to create interesting patterns and designs in art and graphic design.
Conclusion
A 10-sided polygon, also known as a decagon, is a regular polygon with 10 sides, 10 vertices, and 10 interior angles. Its interior angles are all equal to 144 degrees, and its exterior angles are all equal to 36 degrees. 10-sided polygons are commonly used in architecture, design, and engineering, and can be used to create interesting patterns and designs in art and graphic design. Now that you know what a 10-sided polygon is called and some of its properties and characteristics, you can begin to explore the many ways it is used in the world around us.
Remember, the key to success in geometry is practice and repetition. Keep exploring and learning, and soon you will become an expert in all things related to polygons!
Posting Komentar untuk "What Is A 10 Sided Polygon Called?"