What Shape Has 9 Sides Called?
Welcome to our blog where we will be discussing the shape that has 9 sides. Geometry is a fascinating subject that has been studied for centuries. It is the science of shapes and their properties. A polygon is a two-dimensional shape that is made up of straight lines. The number of sides a polygon has determines its name. In this article, we will be focusing on a polygon that has 9 sides.
What is a 9-Sided Polygon Called?
A 9-sided polygon is called a nonagon. The word "nonagon" comes from the Greek words "nona" and "gonia," which mean "nine" and "angle," respectively. A nonagon is a closed shape that has nine sides, nine angles, and nine vertices.
Properties of a Nonagon
A nonagon has several properties, which include:
- It has nine sides
- It has nine angles
- It has nine vertices
- It is a regular or irregular polygon
- It has an interior angle sum of 1260 degrees
The interior angle sum of a polygon is the total measure of all the angles inside the polygon. To find the interior angle sum of a nonagon, you can use the formula:
Interior Angle Sum = (n - 2) x 180
Where n is the number of sides. In the case of a nonagon, n is equal to 9.
Examples of Nonagons
Nonagons can be found in many different forms. Some examples of nonagons include:
- A stop sign
- A baseball diamond
- A nine-sided die
- A nonagon-shaped window
Nonagons can also be found in nature, such as the shape of some crystals and flowers.
Regular Nonagon Vs. Irregular Nonagon
A regular nonagon is a nonagon that has all its sides and angles of equal length and measure, respectively. An irregular nonagon, on the other hand, is a nonagon that does not have all its sides and angles of equal length and measure, respectively.
A regular nonagon has several properties, which include:
- All sides are of equal length
- All angles are of equal measure
- It has rotational symmetry of order 9
Rotational symmetry is the property of a shape that remains the same after a rotation around its center point. The order of rotational symmetry of a regular nonagon is 9, which means that it can be rotated 40 degrees, 80 degrees, 120 degrees, and so on, up to 360 degrees, and it will look the same.
An irregular nonagon, on the other hand, has no rotational symmetry.
How to Calculate the Area of a Nonagon
The area of a nonagon can be calculated using the formula:
Area = (9/4) x s^2 x cot(π/9)
Where s is the length of one of the sides of the nonagon.
To calculate the area of a nonagon, you need to know the length of one of its sides. If the nonagon is regular, then all its sides are of equal length. If the nonagon is irregular, then you will need to measure the length of one of its sides using a ruler or measuring tape.
Conclusion
In conclusion, a nonagon is a polygon that has nine sides, nine angles, and nine vertices. It can be either regular or irregular, and it has several properties, including an interior angle sum of 1260 degrees. A nonagon can be found in many different forms, including as a stop sign, a baseball diamond, and a nonagon-shaped window. Its area can be calculated using a simple formula, and its properties make it a fascinating shape to study in geometry.
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