Mastering Decagons: Properties, Calculation Of Angles, Diagonals, And Perimeter.

decagon

10 sided polygon

A decagon is a polygon with 10 sides, and 10 angles. It is a two-dimensional shape that can be either regular or irregular. A regular decagon has all of its sides and angles equal in measure, while an irregular decagon has sides and angles that vary in length and measure.

To calculate the interior angles of a regular decagon, we can use the formula: (n-2) x 180 / n, where n is the number of sides. Thus, for a decagon, (10-2) x 180 / 10 = 144 degrees. This means that the sum of the interior angles of a regular decagon is equal to 1440 degrees.

A few other properties of a decagon include:

– The number of diagonals in a decagon is equal to (n x (n-3)) / 2, where n is the number of sides. For a decagon, this formula would give us (10 x 7) / 2 = 35 diagonals.
– The total number of triangles that can be formed by connecting the vertices of a decagon is 17, meaning there are 17 different possible triangles than can be made using the points on a decagon.
– The perimeter of a regular decagon can be calculated by multiplying the length of one side by the number of sides, so if one side is 5 units long, the perimeter of the decagon would be 50 units.

More Answers: