Enter 2 values
You entered pentagon
This corresponds to an 5 sided polygon
Calculate Sum of the Interior Angles:
Interior Angle Sum = (n - 2) x 180°
Interior Angle Sum = (5 - 2) x 180°
Interior Angle Sum = (3) x 180°
Interior Angle Sum = 540°
Calculate the number of diagonals
| Diagonals = | n(n - 3) |
| 2 |
| Diagonals = | 5(5 - 3) |
| 2 |
| Diagonals = | 5(2) |
| 2 |
| Diagonals = | 10 |
| 2 |
Diagonals = 5
Calculate 1 vertex diagonals
1 vertex Diagonals = n - 31 vertex Diagonals = 5 - 31 vertex Diagonals = 2Calculate 1 vertex triangles
Triangles = N - 2Triangles = 5 - 2Triangles = 3Determine polygon type
Since the polygon has 5 sides, it is a pentagon
Final Answers
Interior Angle Sum = 540Diagonals = 51 Vertex Diagonals = 2Triangles = 3Polygon Type = pentagon
What is the Answer?
Interior Angle Sum = 540Diagonals = 51 Vertex Diagonals = 2Triangles = 3Polygon Type = pentagon
How does the Polygons Calculator work?
Free Polygons Calculator - Using various input scenarios of a polygon such as side length, number of sides, apothem, and radius, this calculator determines Perimeter or a polygon and Area of the polygon. This also determines interior angles of a polygon and diagonals of a polygon as well as the total number of 1 vertex diagonals.This calculator has 5 inputs.
What 13 formulas are used for the Polygons Calculator?
For more math formulas, check out our Formula Dossier
What 6 concepts are covered in the Polygons Calculator?
- apothem
- a line segment from the center to the midpoint of one of its sides
- area
- Number of square units covering the shape
- diagonal
- line segment that goes from one corner to another, but is not an edge
- perimeter
- The distance around a shape or object
- polygon
- A plane figure bounded by a set of straight lines
- radius
- Distance from the center of a circle to the edgeC/2π
