Question

What is eulers formula

Answer 1

V-E+F=2 where V,E and F are the numbers of vertices,edges and faces of any simple convex

Answer 2

hello frnd!!

what is Euler's formula??

It is a formula in which we can verify that whether the polygon is possible or not with the given faces, vertices and edges.

we can also fine the no. of edge, face or vertices.

the formula is F+V-E=2

let me give u an example...

let the no. of faces be 6 and vertices be 8. and edge is not given. it means now we have to find the no. edges.

in this case we will use Euler's formula.

we know that F+V-E=2

6+8-E=2

14-E=2

14-2=E

E=12

verification:-

=F+V-E

=(6+8)-12

=14-12

=2

hence verified

so we can use this formula in this type of cases like when u want to find it's faces, vertices or edges.

this is also used when we are asked that whether this polygon is possible or not.

example:-

1.

given:-

face=7

vertices=9

edge=12

Euler's formula-

=F+V-E

=(7+9)-12

=18-12

=6

hence, not verified. it means with the given no. faces, vertices and sides, the polygon can't be possible.

2.

given:-

face=5

vertices=5

edge=8

Euler's formula-

=F+V-E

=(5+5)-8

=10-8

=2

hence verified. it means with the given no. of faces, vertices and edges, polygon can be possible.

hope u can now understand the formula and how to do this.

hope this helps u...

(^^)