What Do You Call A Ten Sided Figure?
Welcome to our blog where we discuss different topics related to mathematics. Today, we are going to talk about one of the most interesting and commonly asked questions in geometry. What do you call a ten-sided figure? If you are not familiar with geometry, then you might be wondering what this is all about. Don’t worry, we are here to help you understand everything about a ten-sided figure.
The Basics of Geometry
Geometry is a branch of mathematics that deals with the study of shapes, sizes, and positions of objects. It involves the study of points, lines, angles, surfaces, and solids. A polygon is a two-dimensional shape that is made up of straight lines connected to each other. It is a closed figure with three or more sides.
What is a Ten-sided Polygon Called?
A ten-sided polygon is called a decagon. The word ‘decagon’ is derived from two Greek words; ‘deka’ meaning ten and ‘gonia’ meaning angles. A decagon has ten angles and ten sides. It is a regular polygon, which means that all its sides and angles are equal.
A decagon can be classified as a convex or concave polygon. A convex decagon has all its interior angles less than 180 degrees, and all its vertices pointing outwards. A concave decagon has at least one interior angle greater than 180 degrees, and at least one vertex pointing inwards.
Properties of a Decagon
A decagon has several properties that make it unique. Let’s take a look at some of these properties:
- A decagon has ten sides and ten angles.
- All the sides of a decagon are equal in length.
- All the angles of a decagon are equal in measure.
- The sum of the interior angles of a decagon is 1440 degrees.
- The measure of each interior angle of a regular decagon is 144 degrees.
- The measure of each exterior angle of a regular decagon is 36 degrees.
Examples of Decagons
Decagons can be found in many objects around us. Some of the examples of decagons are:
- A stop sign is a regular decagon with a red background and white letters.
- The United States dollar coin is also a regular decagon.
- The shape of a soccer ball is made up of a combination of pentagons and hexagons, with twelve pentagons and twenty hexagons, making a total of thirty-two faces. Each pentagon and hexagon is surrounded by five and six other shapes, respectively, creating a decagonal shape.
How to Calculate the Area of a Decagon
The formula for calculating the area of a regular decagon is:
Area of a Decagon = (5/4) x s^2 x √(5 + 2√5)
Where ‘s’ is the length of each side of the decagon.
To calculate the area of a decagon, you need to know the length of each side. Once you have the length of each side, you can use the above formula to calculate the area.
How to Calculate the Perimeter of a Decagon
The formula for calculating the perimeter of a decagon is:
Perimeter of a Decagon = 10s
Where ‘s’ is the length of each side of the decagon.
To calculate the perimeter of a decagon, you need to know the length of each side. Once you have the length of each side, you can use the above formula to calculate the perimeter.
Conclusion
In conclusion, a ten-sided polygon is called a decagon. It is a regular polygon with ten sides and ten angles. It is a unique polygon with several properties that make it interesting to study. Decagons can be found in many objects around us, and we use them in our daily lives without even realizing it. We hope that this article has helped you understand everything about a decagon and its properties. If you have any questions or comments, feel free to leave them below.
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