The area of an heptagon = 10
Calculate side, perimeter
Calculate side:
A = 7/4s2cot(180°/7)
| s2 = | 4A |
| 7cot(180°/7) |
| s2 = | 4 x 10 |
| 7cot(25.714285714286) |
| s2 = | 40 |
| 7 x 2.0765213992964 |
| s2 = | 40 |
| 14.535649795075 |
s2 = 2.7518549610044
s = √2.7518549610044
s = 1.6588715926811
Calculate Perimeter:
P = 7 x side
P = 7 x 1.6588715926811
P = 11.612101148768
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 = 10
s = 1.6588715926811
P = 11.612101148768
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7
s = 1.6588715926811
P = 11.612101148768
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7
What is the Answer?
A = 10
s = 1.6588715926811
P = 11.612101148768
Interior Angle sum = 900°
Diagonals = 14
1 vertex Diagonals = 4
Triangles = 5
Sides (Edges) = 7
Faces = 1
Vertices = 7
s = 1.6588715926811
P = 11.612101148768
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.
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
