What Is An 11 Sided Shape Called?
Have you ever looked at a shape and wondered what it's called? Well, if you're staring at a shape with 11 sides, you're in luck! In this article, we'll explore the name of this unique shape and provide some interesting facts about it.
The Name of an 11 Sided Shape
An 11 sided shape is called an undecagon, also known as an 11-gon. The name comes from the Greek words "hendeka," meaning "eleven," and "gonia," meaning "angle."
Just like other polygons, an undecagon has straight sides and angles. However, an 11-gon is a unique shape due to its odd number of sides. It's not as common as shapes like triangles, squares, or circles, which makes it more interesting to learn about.
Properties of an Undecagon
Undecagons have several interesting properties that make them different from other shapes. Here are some of the most important:
Number of Diagonals
A diagonal is a line segment that connects two non-adjacent vertices of a polygon. An undecagon has a total of 55 diagonals, which is calculated using the formula n(n-3)/2, where n is the number of sides.
Interior Angles
The sum of the interior angles of an undecagon is 1470 degrees. To find the measure of each angle, you can use the formula 180(n-2)/n, where n is the number of sides. For an 11-gon, this gives you an interior angle measure of approximately 147.27 degrees.
Exterior Angles
The measure of each exterior angle of an undecagon is 32.73 degrees. To find this measure, you can use the formula 360/n, where n is the number of sides. For an 11-gon, this gives you an exterior angle measure of approximately 32.73 degrees.
Real-Life Examples of an Undecagon
While undecagons aren't as common as other shapes, they can still be found in various real-life objects. Here are some examples:
Soccer Balls
Soccer balls are made up of 12 pentagons and 20 hexagons, which create a shape that closely resembles an undecagon. The pentagons and hexagons are arranged in a pattern that creates the ball's spherical shape.
Dodecahedrons
A dodecahedron is a 3D shape that has 12 pentagonal faces. Each face is an undecagon, which gives the dodecahedron a total of 120 sides.
11-Sided Dice
While not as common as six-sided dice, 11-sided dice do exist. They're typically used in role-playing games that require more complex dice rolls.
Conclusion
Now that you know what an 11 sided shape is called, you can impress your friends with your newfound knowledge! Undecagons may not be as common as other shapes, but they have some unique properties that make them interesting to learn about. Whether you're a math enthusiast or just curious about shapes, an undecagon is definitely worth exploring.
Sources:- https://en.wikipedia.org/wiki/Undecagon
- https://www.mathsisfun.com/geometry/polygons-interactive.html
- https://www.mathopenref.com/polygonexteriorangles.html
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