If you’re curious about what a ten sided polygon is and how to correctly identify one, simply continue reading to discover everything which you need to know about ten sided polygons.
What is a ten sided polygon?
A ten sided polygon is a regular polygon which is referred to as a decagon. A decagon is a two dimensional shape. If you continue reading you’ll discover some of the key differences between the two different types of decagons which exist regular decagons and irregular decagons as well as a few simple mathematical equations that can be applied to regular decagons .
How many edges and vertices does a regular decagon have?
All decagons have 10 edges and vertices. All of which are even in length and size. If it’s been awhile since you’ve come across the term vertices, the term simply refers to the individual points at which each side in a shape such as a regular decagon meet.
How many degrees does the internal angle of a regular decagon add up to?
As regular decagons boast sides which are all uniform in size and length, the internal angle of each internal angle of a regular decagon always adds up to 144 degrees.
What are some of the key properties of a regular decagon?
A polygon is a convex shape as each internal angle in a regular decagon is less than 180 degrees. As just stated above each internal angle in a regular decagon always adds up to 144 degrees. Furthermore, regular decagons can also be referred to as being equilateral polygons as regular decagons have even sides and vertices.
How to find the area of a regular decagon:
If you ever need to find the area of a regular decagon simply use the following mathematic equation. Area equals half multiplied by perimeter multiplied by apothem. In order to get your answer.
How to find the perimeter of a regular decagon:
In order to find out the perimeter of a regular decagon simply multiply sides by ten in order to find the answer which you’re looking for.
Are all decagons regular decagons?
No, while most decagons which you’ll come across will probably be regular decagons, irregular decagons also exist. As long as a two dimensional shape features ten sides and is fully enclosed a shape can be accurately referred to as a 10 sided polygon or a irregular decagon. Like a regular decagon a irregular decagon will also have 10 equal congruent vertices and angles.
What properties does an irregular decagon feature?
An irregular decagon is concave because its angles are larger than 180 degrees, while the angles of a decagon are smaller than 180 degrees, which makes regular decagons convex.
Are they are mainstream examples of an irregular decagon?
If you’re having difficulty imagining what an irregular decagon may look like, one of the simplest most popular examples of an irregular decagon is a traditional star. If you look at a traditional star, you’ll notice that it’s an enclosed, two dimensional shape which features 10 sides and 10 vertices.
Hopefully, you now have a clear idea about what a 10 sided polygon is as well as the two different types of 10 sided polygons or decagons that exist.