 # Edges 4 Faces 5 Vertices

## Enter 2 of the 3 below

<-- Vertices
<-- Faces
<-- Edges

A planar graph has:
4 faces and 5 vertices.
Calculate the number of edges 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 e

Rearranging Eulers Formula
e = v + f - 2
e = 5 + 4 - 2
e = 9 - 2

e = 7

e = 7

### 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