The Learning Point‎ > ‎Mathematics‎ > ‎

### A regular Tridecagon where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 26 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 2cot (Π/13))/4 = 52.74 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 2 x cot 13.84 = 8.11 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 2 x cosec 13.84 degrees = 8.35 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 3 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 3 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 39 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 3cot (Π/13))/4 = 118.67 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 3 x cot 13.84 = 12.17 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 3 x cosec 13.84 degrees = 12.53 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 4 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 4 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 52 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 4cot (Π/13))/4 = 210.97 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 4 x cot 13.84 = 16.22 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 4 x cosec 13.84 degrees = 16.71 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 5 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 5 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 65 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 5cot (Π/13))/4 = 329.64 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 5 x cot 13.84 = 20.28 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 5 x cosec 13.84 degrees = 20.89 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 6 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 6 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 78 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 6cot (Π/13))/4 = 474.68 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 6 x cot 13.84 = 24.34 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 6 x cosec 13.84 degrees = 25.07 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 7 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 7 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 91 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 7cot (Π/13))/4 = 646.1 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 7 x cot 13.84 = 28.4 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 7 x cosec 13.84 degrees = 29.25 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 8 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 8 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 104 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 8cot (Π/13))/4 = 843.88 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 8 x cot 13.84 = 32.45 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 8 x cosec 13.84 degrees = 33.42 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 9 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 9 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 117 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 9cot (Π/13))/4 = 1068.04 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 9 x cot 13.84 = 36.51 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 9 x cosec 13.84 degrees = 37.6 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 10 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 10 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 130 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 10cot (Π/13))/4 = 1318.57 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 10 x cot 13.84 = 40.57 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 10 x cosec 13.84 degrees = 41.78 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 11 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 11 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 143 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 11cot (Π/13))/4 = 1595.47 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 11 x cot 13.84 = 44.62 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 11 x cosec 13.84 degrees = 45.96 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 12 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 12 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 156 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 12cot (Π/13))/4 = 1898.75 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 12 x cot 13.84 = 48.68 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 12 x cosec 13.84 degrees = 50.14 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 13 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 13 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 169 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 13cot (Π/13))/4 = 2228.39 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 13 x cot 13.84 = 52.74 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 13 x cosec 13.84 degrees = 54.32 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 14 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 14 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 182 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 14cot (Π/13))/4 = 2584.41 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 14 x cot 13.84 = 56.8 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 14 x cosec 13.84 degrees = 58.5 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 15 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 15 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 195 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 15cot (Π/13))/4 = 2966.79 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 15 x cot 13.84 = 60.85 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 15 x cosec 13.84 degrees = 62.67 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 16 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 16 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 208 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 16cot (Π/13))/4 = 3375.55 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 16 x cot 13.84 = 64.91 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 16 x cosec 13.84 degrees = 66.85 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 17 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 17 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 221 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 17cot (Π/13))/4 = 3810.68 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 17 x cot 13.84 = 68.97 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 17 x cosec 13.84 degrees = 71.03 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 18 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 18 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 234 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 18cot (Π/13))/4 = 4272.18 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 18 x cot 13.84 = 73.02 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 18 x cosec 13.84 degrees = 75.21 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 19 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 19 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 247 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 19cot (Π/13))/4 = 4760.06 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 19 x cot 13.84 = 77.08 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 19 x cosec 13.84 degrees = 79.39 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 20 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 20 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 260 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 20cot (Π/13))/4 = 5274.3 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 20 x cot 13.84 = 81.14 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 20 x cosec 13.84 degrees = 83.57 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 21 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 21 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 273 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 21cot (Π/13))/4 = 5814.92 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 21 x cot 13.84 = 85.2 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 21 x cosec 13.84 degrees = 87.75 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 22 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 22 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 286 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 22cot (Π/13))/4 = 6381.91 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 22 x cot 13.84 = 89.25 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 22 x cosec 13.84 degrees = 91.92 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 23 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 23 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 299 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 23cot (Π/13))/4 = 6975.27 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 23 x cot 13.84 = 93.31 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 23 x cosec 13.84 degrees = 96.1 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 24 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 24 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 312 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 24cot (Π/13))/4 = 7595 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 24 x cot 13.84 = 97.37 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 24 x cosec 13.84 degrees = 100.28 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 25 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 25 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 325 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 25cot (Π/13))/4 = 8241.1 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 25 x cot 13.84 = 101.42 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 25 x cosec 13.84 degrees = 104.46 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 26 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 26 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 338 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 26cot (Π/13))/4 = 8913.57 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 26 x cot 13.84 = 105.48 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 26 x cosec 13.84 degrees = 108.64 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 27 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 27 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 351 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 27cot (Π/13))/4 = 9612.42 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 27 x cot 13.84 = 109.54 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 27 x cosec 13.84 degrees = 112.82 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 28 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 28 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 364 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 28cot (Π/13))/4 = 10337.64 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 28 x cot 13.84 = 113.6 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 28 x cosec 13.84 degrees = 117 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 29 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 29 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 377 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 29cot (Π/13))/4 = 11089.23 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 29 x cot 13.84 = 117.65 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 29 x cosec 13.84 degrees = 121.17 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.

### A regular Tridecagon where the length of each side is 30 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 13 sides. What are the interior angles and exterior angles?
If the length of each side is 30 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 13

Perimeter of a Tridecagon = side x 13 = 390 units

Area of a Tridecagon = (n x Sidecot (Π/n))/4 = (n x 30cot (Π/13))/4 = 11867.19 square units

Sum of the interior angles of a Tridecagon =
(n-2) x 180 degrees =  (13-2) x 180 degrees = 1980 degrees

Interior Angle of a Tridecagon = (n-2) x 180/n degrees = (13-2) x 180/13 degrees = 152.3 degrees

Exterior angle of a Tridecagon = 180 - Interior Angle = 180 - 152.3 = 27.69 degrees

Inradius = Radius of In-circle = side x cot (Π/13) = 30 x cot 13.84 = 121.71 units

Circumradius = Radius of Circum-circle = side x cosec (Π/13) = 30 x cosec 13.84 degrees = 125.35 units

Symmetry Group = D13  13 rotational symmetries and 13 reflection symmetries. The "D" stands for di-hedral.