How do u find the area of a regular decagon?

The ten radii divide the decagon into 10 congruent isosceles triangles. This fact is used in deriving the formula for area of a regular decagon. In other words, take the length of a side, square it and multiply by 7.694 to get the area of a decagon.

What is the sum of a regular dodecagon?

So, the sum of the interior angles of a dodecagon is 1800 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

What’s a regular decagon?

A regular decagon has all sides of equal length and each internal angle will always be equal to 144°. Its Schläfli symbol is {10} and can also be constructed as a truncated pentagon, t{5}, a quasiregular decagon alternating two types of edges.

What is the apothem of a regular decagon?

The apothem of any regular polygon (like a decagon) is like a radius. It is a line from the centre of the polygon to the centre of any of the sides. As such, it is perpendicular to the side it meets, and it is the shortest distance possible from the centre to the perimeter.

How do you find the area of a dodecagon with the radius?

For a regular dodecagon with sides s, the area formula is: A = 3 × (s)^2 × (2 + √3)

How does a dodecagon look like?

A regular dodecagon is a figure with sides of the same length and internal angles of the same size. A regular dodecagon is represented by the Schläfli symbol {12} and can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How do you calculate the area of a decagon?

The general formula to find the area of a regular decagon is as follows, Area of a decagon = 2.5 (a)(l) Where, a = side length of the regular decagon. l = length between two parallel faces. The next section gives us a clear view on how to calculate the area of a regular decagon.

What is the formula for area of a decagon?

Decagon Area. This Area of a Decagon formula, ( Adecagon=5/2 • √(5+2√5) • s2 ), computes the area of a regular decagon, a polygon with 10 equal sides of length ( s ). Regular Decagon.

How many diagonals are there in a dodecagon?

A dodecagon is a polygon with 12 sides. The number of diagonals in such a figure is n(n-3)/2 = 12*9/2 = 54.

How many sides does a dodecagon have?

Dodecagon: 12 Sides Not to be confused with a decagon, a dodecagon has just two more sides for a total of 12. 12 sides and 12 angles make this shape unique from the others. As you can see, the name is very similar to “decagon” which has 10 sides. The “do” prefix just means add 2 to 10 which gives you 12.