SHOP

12 Edges 6 Faces Vertices

Enter 2 of the 3 below


<-- Vertices
<-- Faces
<-- Edges
  

A planar graph has:
12 edges and 6 faces.
Calculate the number of vertices using
Eulers Formula for Planar Geometry

Eulers Formula

Draw a planar graph
without any edge intersections
with v vertices, e edges and f faces
v - e + f = 2.

Calculate v

Rearrange Eulers Formula
v = e - f + 2
v = 12 - 6 + 2
v = 6 + 2

v = 8





What is the Answer?

v = 8

How does the Eulers Formula for Planar Geometry Calculator work?

This calculator solves for any one of the 3 following items using Eulers Formula for planar geometry:
* Vertices (v)
* Faces (f)
* Edges (e)

This calculator has 3 inputs.

What 1 formula is used for the Eulers Formula for Planar Geometry Calculator?

  1. v - e + f = 2
    where v = vertices, e = edges, and v = faces

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Eulers Formula for Planar Geometry Calculator?

euler
Famous mathematician who developed Euler's constant
eulers formula for planar geometry
shape
vertices
Multiple vertexes

Example calculations for the Eulers Formula for Planar Geometry Calculator

  1. 5 vertices and 4 faces
  2. 6 faces,12 edges
  3. e=20,v=12

Eulers Formula for Planar Geometry Calculator Video


Tags:



Add This Calculator To Your Website