Polygons - Nonagons
Properties of Nonagons, interior angles of Nonagons
|Polygons: Properties of Nonagons|
|Sum of the Interior Angles of a Nonagon:|
|The properties of regular nonagons:|
|All sides are the same length (congruent) and all interior angles are the same size (congruent).|
To find the measure of the angles, we know that the sum of all the angles is 1260 degrees (from above)... And there are nine angles...
So, the measure of the angle of a regular nonagon is 140 degrees.
|The measure of the central angles of a regular nonagon:|
|To find the measure of the central angle of a regular nonagon, make a circle in the middle (I'll let you do the picture)... A circle is 360 degrees around... Divide that by nine angles...|
So, the measure of the central angle of a regular nonagon is 40 degrees.