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Regular Heptagons: Area, Perimeter, Interior and Exterior Angles, Inradius,Circumradius



A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 14 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 2cot (Π/7))/4 = 14.53 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 2 x cot 25.71 = 4.15 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 2 x cosec 25.71 degrees = 4.6 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 21 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 3cot (Π/7))/4 = 32.7 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 3 x cot 25.71 = 6.22 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 3 x cosec 25.71 degrees = 6.91 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 28 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 4cot (Π/7))/4 = 58.14 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 4 x cot 25.71 = 8.3 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 4 x cosec 25.71 degrees = 9.21 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 35 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 5cot (Π/7))/4 = 90.84 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 5 x cot 25.71 = 10.38 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 5 x cosec 25.71 degrees = 11.52 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 42 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 6cot (Π/7))/4 = 130.82 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 6 x cot 25.71 = 12.45 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 6 x cosec 25.71 degrees = 13.82 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 49 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 7cot (Π/7))/4 = 178.06 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 7 x cot 25.71 = 14.53 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 7 x cosec 25.71 degrees = 16.13 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 56 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 8cot (Π/7))/4 = 232.57 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 8 x cot 25.71 = 16.61 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 8 x cosec 25.71 degrees = 18.43 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 63 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 9cot (Π/7))/4 = 294.34 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 9 x cot 25.71 = 18.68 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 9 x cosec 25.71 degrees = 20.74 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 70 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 10cot (Π/7))/4 = 363.39 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 10 x cot 25.71 = 20.76 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 10 x cosec 25.71 degrees = 23.04 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 77 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 11cot (Π/7))/4 = 439.7 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 11 x cot 25.71 = 22.84 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 11 x cosec 25.71 degrees = 25.35 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 84 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 12cot (Π/7))/4 = 523.28 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 12 x cot 25.71 = 24.91 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 12 x cosec 25.71 degrees = 27.65 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 91 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 13cot (Π/7))/4 = 614.13 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 13 x cot 25.71 = 26.99 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 13 x cosec 25.71 degrees = 29.96 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 98 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 14cot (Π/7))/4 = 712.24 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 14 x cot 25.71 = 29.07 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 14 x cosec 25.71 degrees = 32.26 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 105 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 15cot (Π/7))/4 = 817.63 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 15 x cot 25.71 = 31.14 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 15 x cosec 25.71 degrees = 34.57 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 112 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 16cot (Π/7))/4 = 930.28 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 16 x cot 25.71 = 33.22 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 16 x cosec 25.71 degrees = 36.87 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 119 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 17cot (Π/7))/4 = 1050.2 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 17 x cot 25.71 = 35.3 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 17 x cosec 25.71 degrees = 39.18 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 126 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 18cot (Π/7))/4 = 1177.38 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 18 x cot 25.71 = 37.37 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 18 x cosec 25.71 degrees = 41.48 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 133 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 19cot (Π/7))/4 = 1311.84 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 19 x cot 25.71 = 39.45 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 19 x cosec 25.71 degrees = 43.79 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 140 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 20cot (Π/7))/4 = 1453.56 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 20 x cot 25.71 = 41.53 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 20 x cosec 25.71 degrees = 46.09 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 147 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 21cot (Π/7))/4 = 1602.55 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 21 x cot 25.71 = 43.6 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 21 x cosec 25.71 degrees = 48.4 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 154 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 22cot (Π/7))/4 = 1758.81 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 22 x cot 25.71 = 45.68 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 22 x cosec 25.71 degrees = 50.7 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 161 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 23cot (Π/7))/4 = 1922.33 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 23 x cot 25.71 = 47.75 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 23 x cosec 25.71 degrees = 53 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 168 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 24cot (Π/7))/4 = 2093.13 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 24 x cot 25.71 = 49.83 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 24 x cosec 25.71 degrees = 55.31 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 175 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 25cot (Π/7))/4 = 2271.19 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 25 x cot 25.71 = 51.91 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 25 x cosec 25.71 degrees = 57.61 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 182 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 26cot (Π/7))/4 = 2456.52 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 26 x cot 25.71 = 53.98 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 26 x cosec 25.71 degrees = 59.92 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 189 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 27cot (Π/7))/4 = 2649.12 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 27 x cot 25.71 = 56.06 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 27 x cosec 25.71 degrees = 62.22 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 196 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 28cot (Π/7))/4 = 2848.98 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 28 x cot 25.71 = 58.14 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 28 x cosec 25.71 degrees = 64.53 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 203 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 29cot (Π/7))/4 = 3056.12 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 29 x cot 25.71 = 60.21 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 29 x cosec 25.71 degrees = 66.83 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral. 




A regular Heptagon 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 7 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 = 7

Perimeter of a Heptagon = side x 7 = 210 units

Area of a Heptagon = (n x Sidecot (Π/n))/4 = (n x 30cot (Π/7))/4 = 3270.52 square units

Sum of the interior angles of a Heptagon = 
 (n-2) x 180 degrees =  (7-2) x 180 degrees = 900 degrees

Interior Angle of a Heptagon = (n-2) x 180/n degrees = (7-2) x 180/7 degrees = 128.57 degrees 

Exterior angle of a Heptagon = 180 - Interior Angle = 180 - 128.57 = 51.42 degrees

Inradius = Radius of In-circle = side x cot (Π/7) = 30 x cot 25.71 = 62.29 units

Circumradius = Radius of Circum-circle = side x cosec (Π/7) = 30 x cosec 25.71 degrees = 69.14 units

Symmetry Group = D7  7 rotational symmetries and 7 reflection symmetries. The "D" stands for di-hedral.