Write the Euler's formula and then find V , if F = 5 , E = 9 ?

Question

Answer

As Euler's Formula is
F+V=E+2
5+V=9+2
5+V=11
V=11-5
V=6

Answer

Answer

Euler's formula.

F+V = E +2
5+V = 9+2
V= 11-5
V = 6.....

Answer

Euler's Formula and Finding V

Euler's Formula:
Euler's formula is a fundamental equation in graph theory that relates the number of vertices (V), edges (E), and faces (F) of a planar graph. It states that for any planar graph, the equation V - E + F = 2 holds true.

Finding V:
To find the value of V when F = 5 and E = 9, we can rearrange Euler's formula to solve for V. The formula becomes V = E - F + 2.

Substituting given values:
Let's substitute the given values F = 5 and E = 9 into the formula V = E - F + 2.

V = 9 - 5 + 2

Simplifying:
V = 6

Explanation:
- Euler's formula is a powerful tool in graph theory that relates the number of vertices, edges, and faces in a planar graph.
- The formula states that for any planar graph, the difference between the number of vertices and edges plus the number of faces is always equal to 2.
- By rearranging the formula, we can solve for V when given the values of F and E.
- In this case, given F = 5 and E = 9, we substitute these values into the formula V = E - F + 2.
- Simplifying the equation, we find V = 6.
- Therefore, when the number of faces is 5 and the number of edges is 9, the number of vertices is 6 according to Euler's formula.

Summary:
According to Euler's formula, the number of vertices (V), edges (E), and faces (F) in a planar graph are related by the equation V - E + F = 2. By rearranging the formula and substituting the given values of F = 5 and E = 9, we find that V is equal to 6.

Answer

V = 6

Answer

F+V=E+2
5+V=9+2
5+V=11
V=11-5
V=6

So, the correct answer is 6.

Answer

F + V = E + 2
5 + V = 9 + 2
5 + V = 11
V = 11 - 5
V = 6

Answer

F+V=E+2
5+V=9+2
5+V=11
V=11-5
V=6

Answer

As we know that eular formula is V-E+F =2
So,
V-9+5=2
V-4=2
V=2+4
V=6

Answer

The right answer is 6

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