Which Shape Has 11 Sides?

Mei 19, 2024 Posting Komentar

11sided Polygon ClipArt ETC from etc.usf.edu

When it comes to geometry, shapes can come in different sizes and number of sides. Some have a few sides, while others have dozens. But have you ever wondered which shape has 11 sides? In this article, we'll explore the answer to that question and more.

The Undecagon

The shape with 11 sides is called an undecagon. It is also known as an 11-gon or hendecagon. The prefix "un" means "one" in Latin, while "decagon" means "ten sides." Together, they make "undecagon."

Undecagons are not as common as other shapes, but they still have interesting properties. For example, if you were to draw an undecagon and connect all of its vertices, you would create a star shape known as an undecagram.

Properties of the Undecagon

Undecagons have a few unique properties that make them stand out from other shapes. Here are some of them:

An undecagon has 11 sides and 11 angles.
All of its interior angles add up to 1,440 degrees.
Undecagons are not regular polygons, which means that their sides and angles are not all equal.
The formula to calculate the interior angle of an undecagon is ((n-2) x 180) / n, where n is the number of sides. For an undecagon, the formula becomes ((11-2) x 180) / 11 = 147.27 degrees.

Real-Life Examples of Undecagons

Although undecagons are not as common as other shapes, they can still be found in real-life objects. Here are some examples:

The United States one-dollar coin has an undecagon shape around the edge.
The exterior wall of the United States Pentagon building is an undecagon shape.
The Olympic Rings logo has five interlocking undecagons, with each ring representing a continent.

Other 11-Sided Shapes

While undecagons are the only polygon with 11 sides, there are other shapes that have 11 sides. These shapes are not polygons because they have curves instead of straight sides. Here are some examples:

A football (soccer ball) has 12 pentagons and 20 hexagons, which combine to form an icosahedron with 11 sides.
A dodecahedron has 12 pentagons, which can be split into 11 sides and one central point.

Conclusion

Now that you know which shape has 11 sides, you can impress your friends with your geometry knowledge. Undecagons may not be the most common shape, but they are still fascinating in their own right. Whether you're looking at the United States one-dollar coin or the exterior of the Pentagon building, you can appreciate the unique properties of an undecagon.

So, the next time someone asks you which shape has 11 sides, you'll know the answer: an undecagon.

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