How many sides dodecagon have

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Irregular dodecagons have sides of different shapes and angles. There can be an infinite amount of variations. Hence, they all look quite different from each other, but they all have 12 sides. Observe the second dodecagon shown in the figure given above which shows an irregular dodecagon. A concave dodecagon has at least one line segment that can be drawn between the points on its boundary but lies outside of it.

A dodecagon where no line segment between any two points on its boundary lies outside of it is called a convex dodecagon. The properties of a dodecagon are listed below which explain about its angles, triangles and its diagonals. Now substituting this value in the formula. If we observe the figure given above, we can see that the exterior angle and interior angle form a straight angle. A dodecagon can be broken into a series of triangles by the diagonals which are drawn from its vertices.

Therefore, 10 triangles can be formed in a dodecagon. The following table recollects and lists all the important properties of a dodecagon discussed above. The perimeter of a regular dodecagon can be found by finding the sum of all its sides, or, by multiplying the length of one side of the dodecagon with the total number of sides.

Let us assume that the side of a regular dodecagon measures 10 units. Example 2: There is an open park in the shape of a regular dodecagon.

The community wants to buy a fencing wire to place it around the boundary of the park. If the length of one side of the park is meters, calculate the length of the fencing wire required to place all along the park's borders.

Example 3: If each side of a dodecagon is 5 units, find the area of the dodecagon. Sometime during the mid s, a mathematician felt the need for a descriptive word for a sided polygon.

Dodecagons can be regular, meaning all interior angles and sides are equal in measure. They can also be irregular, with varying angles and sides of different measurements. If you ever try to draw a dodecagon freehand, you will no doubt make an irregular dodecagon. That was the easy part. The interior angles of a dodecagon are a bit harder.

You can use this generic formula to find the sum of the interior angles for an n -sided polygon regular or irregular :. That is one of two reasons drawing a regular dodecagon freehand is so difficult. The other reason is the difficulty of drawing 12 equal-length sides. To calculate the perimeter of a regular dodecagon, multiply one side's measurement, s , times The easy calculations are behind us. Now let's tackle area of a regular dodecagon.

For a regular dodecagon with sides s , the area formula is:. As an example, the British one-pound coin is a regular dodecagon.