If you’ve ever drawn stars as a kid, you might have noticed that not all stars look the same. Some have six points, while others have five. But have you ever stopped to think about what shapes have five sides? Do they even have a name? The answer is yes, they do! And in case you don’t know, a shape with 5 sides is called a pentagon!
Pentagons are just one example of how shapes can have different properties. It’s fascinating to think about the many shapes that exist in our world. From circles to squares, triangles, and more. But what makes the pentagon unique is its five sides. It’s a shape that’s commonly seen in architecture, particularly in buildings that have a strong geometric shape, such as a pentagonal pyramid.
While the pentagon might not be the most common shape we encounter in our everyday lives, it’s still an essential shape to know. Understanding shapes and their properties can help improve our spatial awareness, as well as our ability to visualize complex objects or structures. Plus, who knows when you might need to draw a pentagon for a project or just for fun? So next time you see a five-pointed star or a symbol with five sides, you’ll know it’s a pentagon!
Shapes with Different Numbers of Sides
Shapes are a fundamental concept in mathematics, and the number of sides they have is a defining characteristic. Here we will explore the different names for shapes with various numbers of sides.
Shapes with 5 Sides
The shape with 5 sides is called a pentagon. This is a popular shape used in many applications such as architecture, construction, and art. In architecture, the Pentagon in Washington D.C. is an excellent example of a pentagonal building.
Here are some interesting facts about pentagons:
- Pentagons are a type of polygon, which means they have straight sides and angles.
- The sum of the interior angles of a pentagon is 540 degrees.
- A regular pentagon has equal sides and angles.
- Pentagons can also be irregular, meaning they have sides and angles of different lengths and measures.
Below is a table of other shapes with different numbers of sides:
| Number of Sides | Name of Shape |
|---|---|
| 3 | Triangle |
| 4 | Quadrilateral |
| 6 | Hexagon |
| 7 | Heptagon |
| 8 | Octagon |
Understanding the different shapes with different numbers of sides is important in mathematics, and also has practical applications in various fields. Knowing the name and characteristics of a particular shape can help you better understand its properties and uses.
Types of 5-Sided Shapes
Shapes with 5 sides are a unique and interesting group, with many different variations to explore. Here we will dive into the different types of 5-sided shapes and their properties.
Polygons
- Pentagon: The most well-known 5-sided shape is the pentagon. It has 5 straight sides of equal length, with 5 equal angles summing up to 540 degrees. This shape is commonly used in architecture and design, including the Pentagon building in Washington D.C.
- Irregular Pentagon: An irregular pentagon has 5 sides with different lengths and angles, making it a more complex shape to work with in design.
Circular Shapes
Another type of 5-sided shape is a circular shape with 5 equal points, known as a pentagram. This shape has been used for decorative, symbolic, and even mystical purposes in many cultures and religions throughout history.
There is also a fascinating type of geometry called a pentagon tiling, which involves filling a flat surface with interlocking pentagons. These surfaces are known as pentagon tiles, and can create visually stunning patterns and designs.
Golden Ratio
The golden ratio is a mathematical constant that can be found in various forms of art, design, and architecture. It is often associated with the pentagon due to the relationship between its sides and angles.
| Pentagon Side Length | Pentagon Diagonal Length | Ratio |
|---|---|---|
| 1 | 1.61803398875 | 1.61803398875 : 1 |
| 2 | 3.2360679775 | 1.61803398875 : 2 |
| 3 | 4.85410196625 | 1.61803398875 : 3 |
As seen in the table above, the ratio between the side length and the diagonal length of a pentagon is equal to the golden ratio, approximately 1.618. This relationship is considered aesthetically pleasing, and has been used in many works of art and design.
In conclusion, shapes with 5 sides have a diverse range of properties and applications. From the classic pentagon to circular shapes with pentagrams, and even the relationship between the pentagon and the golden ratio, there is much to explore and appreciate in this unique category of shapes.
Geometry: Understanding Polygons
A polygon is a two-dimensional shape that is made up of straight line segments. Polygons are classified by the number of sides they have, with a three-sided polygon being a triangle and a four-sided polygon being a quadrilateral. But what about a shape with 5 sides? Let’s explore what this shape is called and learn more about polygons.
What is a shape with 5 sides called?
- A 5-sided polygon is called a pentagon. The term pentagon comes from the Greek word “penta” which means five and “gonia” which means corner or angle.
- A regular pentagon has all sides and angles equal in measure.
- An irregular pentagon has sides and angles of different measures.
Types of Polygons
Polygons can be classified according to the number of sides they have. Here are some common examples:
- Three-sided polygon: A triangle
- Four-sided polygon: A quadrilateral
- Five-sided polygon: A pentagon
- Six-sided polygon: A hexagon
- Seven-sided polygon: A heptagon
- Eight-sided polygon: An octagon
- Nine-sided polygon: A nonagon
- Ten-sided polygon: A decagon
Properties of Polygons
Each polygon has certain properties that make it unique. Here are some of the most common properties:
- Number of sides: This refers to the number of line segments that make up the polygon.
- Angles: Polygons have interior and exterior angles. The sum of the interior angles in a polygon with n sides is (n-2) times 180 degrees.
- Perimeter: This is the distance around the outside of the polygon and is calculated by adding up the lengths of all the sides.
- Area: This is the space inside the polygon and is calculated by multiplying its base by its height or by using more complex formulas for irregular polygons.
Conclusion
Understanding polygons is important in fields like architecture, engineering, and design. By knowing the properties and characteristics of different types of polygons, we can better grasp the structure and design of buildings, objects, and even nature. A pentagon, with its five sides and unique properties, is just one example of the many fascinating shapes that make up the world around us.
| 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 |
Table: Sum of Interior Angles of Regular Polygons
Names of Polygons with 5 Sides
What is a shape with 5 sides called? A polygon with 5 sides is called a pentagon. The word “pentagon” is derived from the Greek words “penta” which means 5 and “gonia” meaning angles. Therefore, a pentagon is a 5-sided polygon with 5 angles.
Polygons are classified based on the number of sides they have, and each type of polygon has its unique characteristics. Here are different types of polygons with 5 sides and their unique attributes:
Names of Polygons with 5 Sides
- Regular pentagon – all sides are of equal length, and all angles are congruent (measuring 108 degrees)
- Irregular pentagon – the sides and angles are not of equal length
- Convex pentagon – all angles inside the polygon measures less then 180 degrees
Names of Polygons with 5 Sides
There are several real-world examples of pentagons, including the shape of home plate in baseball, the United States Department of Defense building, and the Egyptian Pyramids.
A regular pentagon has some unique properties that make it an interesting shape. The length of the diagonal of a regular pentagon, for instance, is equal to φ x the length of the pentagon’s side, where φ is the golden ratio (approximately 1.618). The golden ratio is a mathematical concept that appears throughout nature and is believed to be the most aesthetically pleasing proportion to the human eye.
Names of Polygons with 5 Sides
Here is a table showing the interior and exterior angles of a regular pentagon:
| Name of Angle | Measurement |
|---|---|
| Interior Angle | 108° |
| Exterior Angle | 72° |
A regular pentagon is a versatile shape that is used in various applications. From architecture to geometry, and even in logo design. Understanding its unique properties is critical in building better structures and creating more visually appealing designs.
Real-life Examples of 5-Sided Shapes
Have you ever wondered what a shape with five sides is called? It’s called a pentagon. In this article, we will explore the properties of a pentagon and provide real-life examples of 5-sided shapes.
A pentagon is a polygon with five sides and five angles. It is a two-dimensional shape that has five vertices and five edges. The internal angles of a pentagon add up to 540 degrees, and all the sides are equal in length if it is a regular polygon.
- A traffic sign: Most of us have seen a stop sign or a yield sign on the road. The shape of these signs is a regular pentagon. The five sides of a stop sign are red, and the word STOP is written in white to make it more visible to drivers.
- A soccer ball: A soccer ball is made up of 20 hexagons and 12 pentagons. The pentagons are arranged in a pattern that gives a soccer ball its distinct look.
- A house: Some houses have pentagon-shaped roofs. The roof of a house is made up of five triangular sides, making it a pentagon. This shape gives the roof a unique and modern look.
A pentagonal prism is a three-dimensional figure that has two pentagonal bases and five rectangular sides. It has ten vertices and fifteen edges. The shape of some buildings or towers like the home of United States Military Academy, West Point, New York, USA, is based on a pentagonal prism.
| Pentagon Properties | Values |
|---|---|
| Number of Sides | 5 |
| Number of Angles | 5 |
| Sum of Internal Angles | 540 degrees |
| Number of Vertices | 5 |
| Number of Edges | 5 |
Now you know what a pentagon is and various real-life examples of 5-sided shapes that you might have come across. From traffic signs to roofs of houses, pentagons can be easily spotted in our surroundings. Keep observing and exploring to find more fascinating examples of shapes around you!
Using Five-Sided Shapes in Architecture and Design
Five-sided shapes, or pentagons, are a versatile and unique option for architects and designers. Whether used as a standalone shape, or incorporated into a larger design, pentagons offer both aesthetic appeal and functional benefits.
- Uniqueness: One of the main advantages of using a pentagon in architecture and design is its uniqueness. While four-sided shapes, such as squares and rectangles, are common and popular choices, pentagons offer a distinctive look that can set a building or design apart.
- Flexibility: Pentagons can be used in a variety of ways, making them a flexible choice for architects and designers. They can serve as structural elements, decorative accents, or even the basis for an entire building design.
- Stability: Pentagons also offer stability in construction. Due to their five sides, they distribute weight more evenly than four-sided shapes, making them a strong and reliable choice for both small and large-scale projects.
When it comes to using pentagons in architecture and design, the possibilities are virtually endless. Here are just a few examples of how they can enhance a building or design:
Incorporating pentagons into building façades: Using pentagons as architectural elements on the exterior of a building can add visual interest and depth to its design. The angular shapes can create shadow and dimension, adding texture and complexity to an otherwise flat surface.
Designing pentagon-shaped rooms: For a truly unique building design, architects can create rooms that are shaped like pentagons. This can add a sense of fun and playfulness, while also maximizing the available space and creating a one-of-a-kind feature.
Using pentagons in furniture design: Pentagons can be incorporated into furniture design to add visual interest and geometric flair. For example, a coffee table or shelving unit can be designed with a pentagonal shape to create a striking focal point in a room.
| Examples of pentagon-shaped buildings: | Design features incorporating pentagons: |
|---|---|
 Image source: Pinterest |
 Image source: Pinterest |
 Image source: Pinterest |
 Image source: Pinterest |
Overall, pentagons offer architects and designers an opportunity to think outside the box and create unique and functional designs that stand out from the crowd.
Properties and Characteristics of 5-Sided Figures
A shape with 5 sides is called a pentagon, derived from the Greek word ‘pente’ meaning five and ‘gonia’ meaning angle. Pentagons can be classified as regular or irregular based on the equality of their sides and angles. The characteristics of a pentagon are:
- A pentagon has five straight sides and five interior angles.
- The sum of all the interior angles of a pentagon is 540 degrees.
- In a regular pentagon, all sides and angles are equal.
- An irregular pentagon has sides and angles of different lengths and measures.
- A regular pentagon has rotational symmetry of order 5, meaning it has five possible rotational positions that look exactly the same.
Types of Pentagons
There are various types of pentagons that have distinct properties and characteristics. The following are some of the most common types:
- Regular Pentagon – A polygon with five equal sides and angles.
- Irregular Pentagon – A polygon with uneven sides and angles.
- Convex Pentagon – A polygon with all interior angles measuring less than 180 degrees.
- Concave Pentagon – A polygon with at least one interior angle measuring more than 180 degrees.
- Star Pentagon – A polygon created by connecting every other vertex of a regular pentagon.
Area and Perimeter of a Pentagons
The area and perimeter of a pentagon can be calculated using various formulas. Here are some of the most commonly used ones:
The formula for calculating the perimeter of a regular pentagon is:
P = 5s (where s is the length of one side)
The formula for calculating the area of a regular pentagon is:
A = (5/4) × s^2 × [(√5) + 5] (where s is the length of one side)
The formula for calculating the area of an irregular pentagon is:
A = (1/2) × apothem × perimeter (where apothem is the distance from the center of the pentagon to the midpoint of any side)
Pentagon Diagonals
A diagonal is a line segment that connects two non-adjacent vertices of a polygon. A pentagon has ten diagonals, each connecting two vertices that are not adjacent. The formula for calculating the number of diagonals in a pentagon is:
| Number of Sides | Number of Diagonals |
|---|---|
| 5 | 10 |
Diagonals can be used to determine the area of a pentagon using the following formula:
A = (1/2) × diagonal × (sum of lengths of adjacent sides)
Pentagons, with their unique properties and characteristics, have been studied by mathematicians for thousands of years. They continue to fascinate mathematicians, artists, and architects alike.
7 FAQs on What is a Shape with 5 Sides Called
Q: What is a shape with 5 sides called?
A: A shape with 5 sides is called a pentagon.
Q: What is a pentagon?
A: A pentagon is a two-dimensional shape with five straight sides and five angles.
Q: Can all of the sides of a pentagon be of equal length?
A: Yes, a pentagon with all sides of equal length is called a regular pentagon.
Q: What is the sum of the angles in a pentagon?
A: The sum of the angles in a pentagon is 540 degrees.
Q: How is a pentagon different from a hexagon?
A: A pentagon has five sides while a hexagon has six sides.
Q: What are some real-life examples of a pentagon?
A: Home plate in baseball, some street signs, and the shape of the United States Department of Defense building are all examples of a pentagon.
Q: Can a pentagon be concave or convex?
A: Yes, a pentagon can be either concave or convex depending on its angles and sides.
Thanks for Reading!
We hope our FAQs have helped you understand what a shape with 5 sides is called. Remember, a pentagon is a two-dimensional shape with five straight sides and five angles, and can be either regular or irregular, concave or convex. From home plate in baseball to the United States Department of Defense building, pentagons can be found in real-life examples all around us. Thanks for reading, and feel free to come back for more educational content in the future!