A dodecagon is a 12-sided polygon with 12 sides, each with 12 interior angles and 12 vertices. The name resembles words like pentagon or octagon because the prefix is a Greek numeral describing how many sides there are. All dodecagons have interior angles that sum to 1800°, exterior angles that sum to 360°, and diagonals that divide it into 10 triangles drawn from its vertices.
The area of a dodecagon can be calculated using the formula (n – 2) x 180° = 1800°. For a regular dodecagon, the sum of interior angles is A = (n-2) × 180° / n, where A represents the measure of each angle and n is the number of sides.
There are 54 diagonals in a dodecagon, and the sum of the measures of the interior angles of a 12-gon is 1800°. A regular dodecagon has sides of the same length and internal angles of the same size. The interior of such a dodecagon is not generally defined, but the sum of the measures of the interior angles of a 12-gon is 1800°.
In conclusion, a dodecagon is a shape with 12 sides, 12 interior angles, and 12 vertices. The sum of the measures of the interior angles of a 12-gon is 1800°, and the exterior and central angles also add up to 180°.
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