Polygons - Dodecagons
Properties of dodecagons, interior angles of dodecagons
|Polygons: Properties of Dodecagons|
|Sum of the Interior Angles of a Dodecagon:|
|The properties of regular dodecagons:|
|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 1800 degrees (from above)... And there are twelve angles...
So, the measure of the interior angle of a regular dodecagon is 150 degrees.
|The measure of the central angles of a regular dodecagon:|
|To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)... A circle is 360 degrees around... Divide that by twelve angles...|
So, the measure of the central angle of a regular dodecagon is 30 degrees.