What Is A Ten Sided Polygon?
Welcome to our article on the ten-sided polygon, also known as a decagon. A polygon is a two-dimensional shape that is made up of straight lines, and a decagon is one type of polygon. In this article, we will explore what a decagon is, how it is formed, and some interesting properties of this shape.
What is a Decagon?
A decagon is a polygon with ten sides and ten angles. The word "decagon" comes from the Greek words "deka" meaning ten, and "gonia" meaning angle. The shape of a decagon is often associated with symmetry and balance, and it is commonly used in architecture, art, and design.
How is a Decagon Formed?
A decagon can be formed in several ways. One way is to start with a circle and then draw ten equally spaced points around the circumference of the circle. Next, connect these points with straight lines to form a ten-sided polygon. Another way to form a decagon is to start with a square and then extend each side of the square by the same length until you have ten sides.
Properties of a Decagon
Angles
A decagon has ten angles, and the sum of these angles is always 1440 degrees. Each angle in a regular decagon measures 144 degrees, and each exterior angle measures 36 degrees. The interior angles of a decagon are acute, meaning they are less than 90 degrees.
Sides
All sides of a regular decagon are congruent, meaning they have the same length. The perimeter of a regular decagon can be calculated by multiplying the length of one side by ten. The area of a regular decagon can be calculated by dividing the perimeter by two, multiplying it by the apothem (the distance from the center of the decagon to the midpoint of a side), and then rounding to the nearest whole number.
Symmetry
A regular decagon has ten lines of symmetry, which divide the shape into ten congruent parts. The rotational symmetry of a decagon is 36 degrees, meaning that if you rotate a regular decagon by 36 degrees, it will look the same as before.
Real-Life Examples of Decagons
Decagons can be found in many real-life examples, such as:
- Stop signs: The shape of a stop sign is a regular octagon, but the white border around the octagon creates a decagon.
- Soccer balls: A soccer ball is made up of twelve pentagons and twenty hexagons, but each pentagon is surrounded by five hexagons and a white space, creating a decagon shape.
- Flower petals: Many flowers, such as the dahlia, have petals that are arranged in a decagon shape.
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