Are you curious about what a 9 sided figure is called? Well, you’re in luck because I’m here to provide the answer. It’s not every day that we come across a shape with nine sides, which is why learning its name can be quite exciting. Whether you stumbled across one in a geometry class or saw a unique 9-sided object while out and about, knowing what to call it is bound to impress your friends and family.
As someone who loves learning new things, I’m always curious about the various shapes and patterns that exist in the world around us. While I knew that a circle had no sides and a square had four sides, I had no clue what a 9 sided figure was called. It’s amazing how much our brains can process and store, but there are still so many things that remain a mystery without a little bit of research. Knowing the name of a 9 sided figure may not seem like a critical piece of information, but it’s always helpful to expand our knowledge and vocabulary.
With all that said, you may be wondering what we actually call a 9 sided figure. Is it some fancy or scientific term that’s impossible to pronounce? The truth is, the name of this shape is quite straightforward and simple. In fact, it’s called a “nonagon.” Yes, you read that right – a nonagon. It may not be the most exciting name in the world, but it definitely gets the job done. Whether you’re a math whiz or just someone who loves random trivia, knowing what a nonagon is can come in handy in more ways than one.
Properties of Polygons
Polygons are geometrical figures that are formed by three or more straight sides, which are connected at the vertices. A 9 sided polygon is called a nonagon. It is also known as enneagon. It comes from the Latin word for nine, “ennea”. A nonagon is a type of polygon that has nine sides, nine vertices, and nine angles. To better understand the properties of a nonagon, we need to look at its different aspects and characteristics.
- Shape: A nonagon has a unique and interesting shape. Its nine sides and angles create a regular or irregular polygon that can be symmetrical or asymmetrical.
- Angles: A nonagon has nine interior angles, which means that the sum of its interior angles is equal to 1260 degrees. Each angle’s measure is equal to (n-2) x 180/n, where n is the number of sides of the polygon. In the case of a nonagon, each angle measures 140 degrees.
- Diagonals: A nonagon has 27 diagonals, which are line segments that connect two non-adjacent vertices of the polygon. The formula to calculate the number of diagonals in a polygon is n(n-3)/2, where n is the number of sides of the polygon. In the case of a nonagon, we have 9(9-3)/2 = 27 diagonals.
The properties of polygons, like the nonagon, play a vital role in various fields of study, such as mathematics, engineering, architecture, and art. Their symmetry and unique shapes are also fascinating, making them an area of interest for many people. Understanding the properties of polygons allows us to appreciate and discover the beauty of geometrical figures in our world.
Regular vs. Irregular Polygons
Polygons are shapes made up of straight lines that are joined together, forming a closed shape. A polygon can have any number of sides, from three (a triangle) to thousands. The polygons can be classified into two categories, regular and irregular.
Regular Polygons
- A regular polygon is a polygon in which all the sides have the same length and all the angles have the same degree measure.
- The regular polygons are named according to the number of sides they have.
- A 3-sided polygon is called an equilateral triangle, a 4-sided polygon is called a square, a 5-sided polygon is called a pentagon, a 6-sided polygon is called a hexagon, and so on.
- A regular polygon can be inscribed in a circle, so all the vertices lie on the circle.
- The formula to find the measure of each interior angle of a regular polygon is (n-2) x 180 / n, where n is the number of sides. For a regular hexagon (n=6), each angle measures 120 degrees.
Irregular Polygons
Irregular polygons are polygons that do not meet the criteria for being regular polygons. The sides are not all the same length, and the angles are not all the same measure.
An example of an irregular polygon is a kite. A kite has two pairs of adjacent sides that are equal in length, but the angles are not all the same measure.
Conclusion
In conclusion, polygons are a fundamental part of geometry and come in many different shapes and sizes. Regular polygons are special types of polygons that have all sides and angles equal, while irregular polygons are polygons that do not meet this criteria. Both types of polygons can be found in everyday life and are essential for understanding more complex shapes and patterns.
| Regular Polygons | Number of Sides | Interior Angle Measure |
|---|---|---|
| Equilateral Triangle | 3 | 60 degrees |
| Square | 4 | 90 degrees |
| Pentagon | 5 | 108 degrees |
| Hexagon | 6 | 120 degrees |
| Heptagon | 7 | 128.57 degrees |
As the number of sides increases, the interior angle measure decreases.
Naming Polygons by Number of Sides
When it comes to polygons, the number of sides they have plays a significant role in their classification and identification. Here’s a breakdown of the different names used for polygons with varying numbers of sides.
Subsection 3: 9-Sided Figure
A 9-sided polygon is called a nonagon. The word “nonagon” is derived from the Greek words “nona” meaning “nine” and “gon” meaning “angle.” This means that a nonagon is a polygon with nine angles or vertices. Nonagons are not as common as some other polygon shapes, but they can be found in nature in the form of honeycomb cells and some star shapes.
Here are some interesting properties of nonagons:
- A nonagon has nine sides and nine angles.
- The sum of the interior angles of a nonagon is 1260 degrees.
- A regular nonagon has nine equal sides and nine equal angles, each measuring 140 degrees.
Like with other polygons, nonagons can have different types of symmetry such as rotational symmetry and reflection symmetry. A regular nonagon has nine lines of symmetry, which means you can rotate it eight times and it will still look the same. Nonagons can also be inscribed in circles, with all the vertices lying on the circumference of a circle. This is known as a circumnonagon.
| Number of Sides | Name |
|---|---|
| 3 | Triangle |
| 4 | Quadrilateral |
| 5 | Pentagon |
| 6 | Hexagon |
| 7 | Heptagon |
| 8 | Octagon |
| 9 | Nonagon |
| 10 | Decagon |
Knowing the names of different polygons can help you recognize and classify shapes more effectively. It can also be a fun way to impress your friends with your knowledge of geometry!
Types of Polygons
Polygons are two-dimensional geometric shapes with three or more straight sides and angles. Their names are determined by the number of sides they possess, with each new polygon being named by prefixing the Greek numerals – mono-, di-, tri-, tetra-, penta-, hexa-, hepta-, octa-, nona-, deca- – to the suffix ‘gon’, meaning ‘angle’ or ‘corner’.
- 3-sided polygon: A polygon with 3 sides is called a triangle.
- 4-sided polygon: A polygon with 4 sides is called a quadrilateral. One of the most common types of quadrilaterals is a rectangle, with four right angles and two pairs of equal sides.
- 5-sided polygon: A polygon with 5 sides is called a pentagon.
Each polygon has unique properties, such as angles and side length, which make them important in many different areas of math and science. However, the most important classification is whether they are regular or irregular.
A regular polygon is a polygon where all sides and angles are equal. An irregular polygon is a polygon that is not regular either because its sides are not all the same length or its angles are not all congruent.
| Polygon Name | Number of Sides | Angle Sum |
|---|---|---|
| Triangle | 3 | 180 degrees |
| Quadrilateral | 4 | 360 degrees |
| Pentagon | 5 | 540 degrees |
| Hexagon | 6 | 720 degrees |
| Heptagon | 7 | 900 degrees |
| Octagon | 8 | 1080 degrees |
| Nonagon | 9 | 1260 degrees |
| Decagon | 10 | 1440 degrees |
Understanding the different types of polygons and their properties is essential for success in mathematics, engineering, and other sciences that use geometric concepts.
Calculating the Interior Angles of Polygons
Polygons are flat shapes that have closed sides and straight lines. They range from triangles, with three sides, to figures with hundreds of sides. When we talk about polygons, one question that comes up often is how to calculate the interior angles of the figure. Here, we will answer this question and discuss the properties of polygons related to interior angles.
Properties of Polygons Related to Interior Angles
- A polygon with n sides has n interior angles.
- The sum of all the interior angles of a polygon is (n-2) x 180 degrees.
- All the interior angles of a regular polygon are equal.
- A convex polygon has all its interior angles less than 180 degrees.
- A concave polygon has at least one interior angle greater than 180 degrees.
Calculating Interior Angles of Polygons
In order to calculate the interior angles of a polygon, you need to know the number of sides of the polygon and at least one interior angle. Once you have this information, you can use the formula:
Interior angle = (n-2) x 180 / n
where n is the number of sides of the polygon.
For example, let’s say you want to find the interior angles of a regular polygon with 9 sides. Since it is a regular polygon, all the interior angles are equal. First, we use the formula to find the sum of all the interior angles:
(9-2) x 180 = 1260 degrees
Then, we divide this sum by the number of sides:
1260 / 9 = 140 degrees
Therefore, each interior angle of this regular polygon measures 140 degrees.
| Number of sides (n) | Sum of interior angles |
|---|---|
| 3 (triangle) | 180 degrees |
| 4 (quadrilateral) | 360 degrees |
| 5 (pentagon) | 540 degrees |
| 6 (hexagon) | 720 degrees |
| 7 (heptagon) | 900 degrees |
| 8 (octagon) | 1080 degrees |
| 9 (nonagon) | 1260 degrees |
It is important to note that the formula we used only works for regular polygons. For irregular polygons, the calculation of interior angles can be more complex. However, the sum of interior angles is still (n-2) x 180 degrees.
Knowing how to calculate interior angles is useful in many applications, including architecture, construction, and in various fields of mathematics. It is an important concept that helps us understand the properties and characteristics of polygons.
Real-World Applications of Polygons
Polygons are geometric shapes that are used extensively in the real world. From architecture to design to engineering, these figures serve much purpose and are integral in fields such as construction, urban planning, and art. They are also found commonly in everyday objects like stop signs and windowpanes.
Number 6: Applications in Architecture
- Foundation design: Architects use polygons to design foundations for buildings. By creating a polygonal-shaped base, it ensures that the structure is sturdy and can withstand forces such as earthquakes or strong winds.
- Roof design: Similarly, polygons are utilized in designing the shape of a building’s roof. From triangular to hexagonal shapes, each polygon forms a unique design that aids in protecting the structure from harsh weather conditions like rain, hail, or snow.
- Window design: Windows are an integral part of any building, and polygons are crucial in designing the windowpane shape. From triangular shapes in contemporary homes to octagons in Victorian architecture, the window’s polygon shape determines the building’s aesthetics and overall design.
Furthermore, architects use polygons to divide buildings into different rooms or sections. By using polygons, they can create a floor plan, which is a graphical representation of the building’s layout. Utilizing polygons in floor plans allows architects to accurately measure space and develop a functional design.
In conclusion, polygons are ubiquitous in many fields and offer unparalleled functionality in design. Understanding these shapes and their applications is essential for both professionals and novices alike.
Fun Facts about Polygons
When it comes to polygons, they can come in all shapes, sizes, and even number of sides. In fact, there are polygons with as few as three sides and as many as thousands of sides. But what about a nine-sided polygon? What is it called and what are some fun facts about it?
The Nine-Sided Polygon
A nine-sided polygon falls into the category of a nonagon. The term nonagon is derived from the Greek word “nonus” meaning “ninth.” A nonagon is a type of polygon that has nine sides and nine angles.
- A nonagon is a type of regular polygon, meaning it has nine equal sides and nine equal angles.
- The sum of the interior angles of a nonagon is 1260 degrees.
- A nonagon can also be referred to as an enneagon.
Fun Facts about Nonagons
Now that we know what a nonagon is, let’s explore some interesting facts about these nine-sided polygons.
Did you know that:
- Nonagons have been used in the design of famous buildings, such as the Tower of the Winds in Athens, Greece.
- A nonagon can also be used as the base of a pyramid, creating a unique geometric shape.
- There are some common household items that have a nonagon shape, such as stop signs and some soccer balls.
- Nonagons are often used in puzzles and games, such as tangrams and jigsaw puzzles.
Nonagon Properties Table
| Nonagon Properties | Values |
|---|---|
| Number of Sides | 9 |
| Number of Angles | 9 |
| Sum of Interior Angles | 1260 degrees |
| Number of Diagonals | 27 |
| Area Formula | (9/4) × s^2 × cot(π/9) where s is the length of one side |
| Perimeter Formula | 9s where s is the length of one side |
As you can see, nonagons have some unique properties and uses. Not only are they aesthetically pleasing in design, but they are also functional in various applications, such as in geometry and architecture.
Frequently Asked Questions: What is a 9 Sided Figure Called?
Q: What is a 9 sided figure called?
A: A 9 sided figure is called a nonagon or enneagon.
Q: How many sides does a nonagon have?
A: A nonagon has 9 sides.
Q: What is the sum of the angles in a nonagon?
A: The sum of the angles in a nonagon is 1260 degrees.
Q: What is the difference between a nonagon and a decagon?
A: A nonagon has 9 sides while a decagon has 10 sides.
Q: Can a nonagon be a regular polygon?
A: Yes, a nonagon can be a regular polygon if all of its sides and angles are equal.
Q: What is an example of an everyday object that is shaped like a nonagon?
A: One example of an everyday object that is shaped like a nonagon is a stop sign.
Q: How is a nonagon different from other polygons?
A: A nonagon is different from other polygons in that it has 9 sides while other polygons can have a different number of sides.
Closing Thoughts
Thanks for reading our article on what a 9 sided figure is called! We hope that we’ve answered all of your questions about nonagons and enneagons. If you’re interested in learning more about shapes and geometry, be sure to check out our other articles. Thanks for visiting and come back soon!