The side of an heptagon = 10

Calculate perimeter, area

Calculate Perimeter:

P = 7 x side

P = 7 x 10

P = 70

Calculate Area:

A = 7/4s2cot(180°/7)

A = 7/4(10)2cot(25.714285714286)

A = 7/4(100)cot(25.714285714286)

A = 175 x 2.0765213992964

A = 363.39124487688

Calculate Sum of the Interior Angles:

Interior Angle Sum = (sides - 2) x 180°

Interior Angle Sum = (7 - 2) x 180°

Interior Angle Sum = 5 x 180°

Interior Angle sum = 900°

Calculate polygon diagonals

Diagonals  =  n(n - 3)
  2

Diagonals  =  7(7 - 3)
  2

Diagonals  =  7(4)
  2

Diagonals  =  28
  2

Diagonals = 14

Calculate 1 vertex diagonals:

1 vertex Diagonals = n - 3

1 vertex Diagonals = 7 - 3

1 vertex Diagonals = 4

Calculate triangles from one vertex:

Triangles = N - 2

Triangles = 7 - 2

Triangles = 5

Other Properties:

Sides (Edges) = 7

Faces = 1

Vertices = 7

Final Answers


s = 10
P = 70
A = 363.39124487688
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7


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What is the Answer?
s = 10
P = 70
A = 363.39124487688
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7
How does the Heptagon Calculator work?
Free Heptagon Calculator - Solves for side length, perimeter, and area of a heptagon.
This calculator has 1 input.
What 1 formula is used for the Heptagon Calculator?
P = 7s
What 5 concepts are covered in the Heptagon Calculator?
area
Number of square units covering the shape
heptagon
seven sided figure
perimeter
The distance around a shape or object
polygon
A plane figure bounded by a set of straight lines
side
line segment joining two vertices in a polygon also known as an edge
Example calculations for the Heptagon Calculator

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