The Learning Point‎ > ‎Mathematics‎ > ‎

regular-hendecagons-area-perimeter-interior-and-exterior-angles-inradius-circumradius



A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 22 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 2cot (Π/11))/4 = 37.46 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 2 x cot 16.36 = 6.81 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 2 x cosec 16.36 degrees = 7.09 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 33 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 3cot (Π/11))/4 = 84.29 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 3 x cot 16.36 = 10.21 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 3 x cosec 16.36 degrees = 10.64 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 44 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 4cot (Π/11))/4 = 149.85 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 4 x cot 16.36 = 13.62 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 4 x cosec 16.36 degrees = 14.19 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 55 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 5cot (Π/11))/4 = 234.14 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 5 x cot 16.36 = 17.02 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 5 x cosec 16.36 degrees = 17.74 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 66 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 6cot (Π/11))/4 = 337.16 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 6 x cot 16.36 = 20.43 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 6 x cosec 16.36 degrees = 21.29 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 77 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 7cot (Π/11))/4 = 458.91 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 7 x cot 16.36 = 23.83 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 7 x cosec 16.36 degrees = 24.84 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 88 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 8cot (Π/11))/4 = 599.4 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 8 x cot 16.36 = 27.24 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 8 x cosec 16.36 degrees = 28.39 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 99 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 9cot (Π/11))/4 = 758.61 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 9 x cot 16.36 = 30.65 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 9 x cosec 16.36 degrees = 31.94 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 110 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 10cot (Π/11))/4 = 936.56 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 10 x cot 16.36 = 34.05 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 10 x cosec 16.36 degrees = 35.49 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 121 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 11cot (Π/11))/4 = 1133.24 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 11 x cot 16.36 = 37.46 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 11 x cosec 16.36 degrees = 39.04 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 132 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 12cot (Π/11))/4 = 1348.65 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 12 x cot 16.36 = 40.86 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 12 x cosec 16.36 degrees = 42.59 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 143 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 13cot (Π/11))/4 = 1582.79 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 13 x cot 16.36 = 44.27 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 13 x cosec 16.36 degrees = 46.14 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 154 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 14cot (Π/11))/4 = 1835.66 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 14 x cot 16.36 = 47.67 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 14 x cosec 16.36 degrees = 49.69 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 165 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 15cot (Π/11))/4 = 2107.26 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 15 x cot 16.36 = 51.08 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 15 x cosec 16.36 degrees = 53.24 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 176 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 16cot (Π/11))/4 = 2397.6 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 16 x cot 16.36 = 54.49 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 16 x cosec 16.36 degrees = 56.79 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 187 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 17cot (Π/11))/4 = 2706.66 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 17 x cot 16.36 = 57.89 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 17 x cosec 16.36 degrees = 60.34 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 198 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 18cot (Π/11))/4 = 3034.46 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 18 x cot 16.36 = 61.3 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 18 x cosec 16.36 degrees = 63.89 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 209 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 19cot (Π/11))/4 = 3380.99 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 19 x cot 16.36 = 64.7 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 19 x cosec 16.36 degrees = 67.43 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 220 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 20cot (Π/11))/4 = 3746.25 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 20 x cot 16.36 = 68.11 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 20 x cosec 16.36 degrees = 70.98 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 231 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 21cot (Π/11))/4 = 4130.24 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 21 x cot 16.36 = 71.51 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 21 x cosec 16.36 degrees = 74.53 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 242 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 22cot (Π/11))/4 = 4532.96 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 22 x cot 16.36 = 74.92 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 22 x cosec 16.36 degrees = 78.08 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 253 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 23cot (Π/11))/4 = 4954.42 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 23 x cot 16.36 = 78.33 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 23 x cosec 16.36 degrees = 81.63 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 264 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 24cot (Π/11))/4 = 5394.6 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 24 x cot 16.36 = 81.73 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 24 x cosec 16.36 degrees = 85.18 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 275 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 25cot (Π/11))/4 = 5853.52 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 25 x cot 16.36 = 85.14 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 25 x cosec 16.36 degrees = 88.73 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 286 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 26cot (Π/11))/4 = 6331.17 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 26 x cot 16.36 = 88.54 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 26 x cosec 16.36 degrees = 92.28 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 297 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 27cot (Π/11))/4 = 6827.55 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 27 x cot 16.36 = 91.95 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 27 x cosec 16.36 degrees = 95.83 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 308 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 28cot (Π/11))/4 = 7342.66 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 28 x cot 16.36 = 95.35 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 28 x cosec 16.36 degrees = 99.38 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 319 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 29cot (Π/11))/4 = 7876.5 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 29 x cot 16.36 = 98.76 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 29 x cosec 16.36 degrees = 102.93 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral. 




A regular Hendecagon 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 11 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 = 11

Perimeter of a Hendecagon = side x 11 = 330 units

Area of a Hendecagon = (n x Sidecot (Π/n))/4 = (n x 30cot (Π/11))/4 = 8429.07 square units

Sum of the interior angles of a Hendecagon = 
 (n-2) x 180 degrees =  (11-2) x 180 degrees = 1620 degrees

Interior Angle of a Hendecagon = (n-2) x 180/n degrees = (11-2) x 180/11 degrees = 147.27 degrees 

Exterior angle of a Hendecagon = 180 - Interior Angle = 180 - 147.27 = 32.72 degrees

Inradius = Radius of In-circle = side x cot (Π/11) = 30 x cot 16.36 = 102.17 units

Circumradius = Radius of Circum-circle = side x cosec (Π/11) = 30 x cosec 16.36 degrees = 106.48 units

Symmetry Group = D11  11 rotational symmetries and 11 reflection symmetries. The "D" stands for di-hedral.