A nonagon is a polygon that has nine sides and nine angles. The word ‘nonagon’ derives from the Latin word ‘nonus,’ meaning ‘nine,’ combined with the Greek word ‘gonia,’ which means ‘angle.’
In a regular nonagon, all sides are of equal length, and all interior angles are equal, each measuring 140 degrees. The sum of the interior angles of a nonagon can be calculated using the formula:
Sum of interior angles = (n – 2) × 180°
Where n is the number of sides. For a nonagon:
Sum of interior angles = (9 – 2) × 180° = 7 × 180° = 1260°
Nonagons can be found in various architectural designs and patterns in nature. They are also used in various fields like mathematics, art, and design due to their unique shape and properties.