Enter 2 values

<-- Side Length
<-- # of Sides
<-- Radius
<-- Apothem
<-- Perimeter
  

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1 vertex Diagonals = n - 3
1 vertex Diagonals = 10 - 3
1 vertex Diagonals = 7

Triangles = N - 2
Triangles = 10 - 2
Triangles = 8

Answer

↓Steps Explained:↓

You entered decagon

This corresponds to an 10 sided polygon

Calculate Sum of the Interior Angles:

Interior Angle Sum = (n - 2) x 180°

Interior Angle Sum = (10 - 2) x 180°

Interior Angle Sum = (8) x 180°

Interior Angle Sum = 1440°

Calculate the number of diagonals

Diagonals  =	n(n - 3)
	2

Diagonals  =	10(10 - 3)
	2

Diagonals  =	10(7)
	2

Diagonals  =	70
	2

Diagonals = 35

Calculate 1 vertex diagonals

Calculate 1 vertex triangles

Determine polygon type

Since the polygon has 10 sides, it is a decagon

Final Answers

Interior Angle Sum = 1440
Diagonals = 35
1 Vertex Diagonals = 7
Triangles = 8
Polygon Type = decagon

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