Heptagon area = 20
Enter heptagon info
The area of an heptagon = 20
Calculate side, perimeter
Calculate side:
A = 7/4s2cot(180°/7)
| s2 = | 4A |
| 7cot(180°/7) |
| s2 = | 4 x 20 |
| 7cot(25.714285714286) |
| s2 = | 80 |
| 7 x 2.0765213992964 |
| s2 = | 80 |
| 14.535649795075 |
s2 = 5.5037099220088
s = √5.5037099220088
s = 2.3459987046051
Calculate Perimeter:
P = 7 x side
P = 7 x 2.3459987046051
P = 16.421990932236
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
A = 20
s = 2.3459987046051
P = 16.421990932236
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7
What is the Answer?
A = 20
s = 2.3459987046051
P = 16.421990932236
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?
What 5 concepts are covered in the Heptagon Calculator?
areaNumber of square units covering the shapeheptagonseven sided figureperimeterThe distance around a shape or objectpolygonA plane figure bounded by a set of straight linessideline segment joining two vertices in a polygon also known as an edgeExample calculations for the Heptagon Calculator
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