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How Many Sides Does A 14-Gon Have?

How to Find How Many Diagonals Are in a Polygon 11 Steps
How to Find How Many Diagonals Are in a Polygon 11 Steps from www.wikihow.com

Geometry is a fascinating branch of mathematics that deals with shapes, sizes, and positions of objects. One of the most intriguing shapes in geometry is the polygon, a closed figure with three or more straight sides. In this article, we will explore the properties of a 14-gon, a polygon with 14 sides, and answer the question: How many sides does a 14-gon have?

What is a polygon?

A polygon is a 2-dimensional shape that has three or more straight sides and angles. The word polygon comes from the Greek words 'poly' which means many, and 'gonia' which means angles. Examples of polygons include triangles, rectangles, squares, pentagons, hexagons, and so on.

What is a 14-gon?

A 14-gon is a polygon with 14 sides. It is also known as a tetradecagon. The word tetradecagon comes from the Greek words 'tetra' which means four and 'deka' which means ten. A 14-gon has 14 vertices, 14 angles, and 91 diagonals.

How to calculate the number of sides of a polygon?

The formula to calculate the number of sides of a polygon is n = 180 x (m - 2) / m, where n is the number of sides, and m is the number of angles. Using this formula, we can calculate that a 14-gon has 14 sides and 14 angles.

What are the properties of a 14-gon?

A 14-gon has several properties that make it unique. For example, it has 91 diagonals, which is the maximum number of diagonals that any 14-sided polygon can have. It also has 14 vertices, which are the points where two sides meet.

What are some examples of 14-gons?

There are several real-life examples of 14-gons. For instance, the flower of the wood anemone has 14 petals arranged in a circle. The shape of a football is also a 14-gon, as it has 14 flat surfaces arranged in a spherical shape.

What is the interior angle of a 14-gon?

The formula to calculate the interior angle of a polygon is 180 x (m - 2) / m, where m is the number of angles. Using this formula, we can calculate that the interior angle of a 14-gon is approximately 154.3 degrees.

How to draw a 14-gon?

Drawing a 14-gon can be a challenging task, especially if you don't have the right tools. The easiest way to draw a 14-gon is to start with a circle and divide it into 14 equal parts using a protractor. Then, connect the points to form the sides of the polygon.

What are some interesting facts about 14-gons?

Here are some interesting facts about 14-gons:

  • A 14-gon is a cyclic polygon, which means that all its vertices lie on a common circle.
  • The area of a 14-gon can be calculated using the formula A = (14 x s²) / (4 x tan(π/14)), where s is the length of a side.
  • A 14-gon has 91 diagonals, which is the maximum number of diagonals that any 14-sided polygon can have.
  • Conclusion

    So, how many sides does a 14-gon have? A 14-gon has 14 sides, 14 angles, and several interesting properties. It is a fascinating shape that has many real-life applications. We hope that this article has helped you understand the properties of a 14-gon and answered your question about how many sides it has.

    Remember, geometry is an exciting branch of mathematics that has many fascinating shapes and properties. Keep exploring and learning!

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