What Polygon Has 11 Sides?

11sided Polygon ClipArt ETC from etc.usf.edu

Geometry is a fascinating subject that deals with shapes, sizes, and relative positions of objects. One of the most exciting aspects of geometry is polygons. A polygon is a two-dimensional shape that has straight sides, and it is formed by connecting two or more points. Polygons can have different numbers of sides, and in this article, we will be discussing what polygon has 11 sides.

What is an 11-sided polygon?

An 11-sided polygon is called an undecagon or a hendecagon. The word "undecagon" comes from the Greek word "undeca," which means eleven, and "gon" means angle. Therefore, an undecagon has 11 angles or vertices and 11 sides. The term "hendecagon" also comes from Greek, with "hendeka" meaning 11 and "gon" meaning angle.

Properties of an undecagon

Like all polygons, an undecagon has specific properties that make it unique. The following are the properties of an undecagon:

• It has 11 vertices or angles
• It has 11 sides, and each side is of equal length
• The sum of the interior angles of an undecagon is 1470 degrees
• The exterior angle of an undecagon is 32.73 degrees
• It has 55 diagonals

How to construct an undecagon

Constructing an undecagon is relatively easy, and it can be done using a compass and a straight edge. The following are the steps to construct an undecagon:

1. Draw a straight line using a ruler
2. Using a compass, draw a circle with the desired radius and center it on the line drawn in step 1
3. Without changing the radius of the compass, draw another circle, and center it on the intersection of the first circle and the line drawn in step 1
4. Draw a straight line connecting the two points where the two circles intersect
5. Repeat steps 2-4 until you have drawn 11 straight lines, connecting the points where the circles intersect
6. Erase the circles, and you will have an undecagon

Examples of objects with undecagon shape

The undecagon shape is not as common as other polygons, but it can still be found in some objects. Here are some examples of objects that have an undecagon shape:

• Undecagon-shaped coins or medals
• Undecagon-shaped tables or desks
• Undecagon-shaped tiles or paving stones

Real-life uses of undecagons

Undecagons have various real-life applications in different fields. Here are some examples of how undecagons are used in real life:

• In architecture, undecagons are used to create unique and visually appealing shapes for buildings and structures
• In sports, undecagons are used to create the shape of soccer balls
• In art, undecagons are used to create intricate designs and patterns

Conclusion

In conclusion, an undecagon is a polygon with 11 sides and 11 angles. It has unique properties that make it stand out from other polygons, and it can be constructed using a compass and a straight edge. Although undecagons are not as common as other polygons, they still have practical real-life applications.

So, now you know what polygon has 11 sides!

Source: etc.usf.edu

Source: etc.usf.edu

Source: etc.usf.edu