A nonagon is a geometric shape that has nine sides and nine angles. The name ‘nonagon’ comes from the Latin word ‘nonus,’ which means nine, combined with ‘gon,’ derived from the Greek word ‘gonia,’ meaning angle.
In a regular nonagon, all sides are of equal length, and each interior angle measures 140 degrees. The sum of all interior angles in a nonagon can be calculated using the formula: (n-2) × 180 degrees, where n is the number of sides. For a nonagon, the calculation is (9-2) × 180 = 1,260 degrees. This means that if you were to add up the measures of all nine interior angles, you would get 1,260 degrees.
Nonagons can be found in various real-world applications, such as architecture and design, and are often seen in tiling patterns and artworks. Understanding shapes like nonagons is essential in geometry, as they help us grasp more complex concepts in mathematics and design.