# How many diagonals can be drawn from a vertex of an octagon?

## How many diagonals can be drawn from a vertex of an octagon?

5 diagonals
You cannot draw diagonals to the vertex itself as well as two adjacent vertices and hence you can draw 5 diagonals from the vertex.

## How many diagonals can be drawn from one vertex of a hexagon?

9 diagonals
A hexagon has 9 diagonals. A diagonal of a polygon is a line segment that runs from one vertex of the polygon to another vertex, excluding the sides…

How many diagonals can you draw from that vertex?

Each vertex has two diagonals, so if you counted each diagonal from every vertex twice, you might think there were 10 diagonals.

### How many diagonals can be drawn from a vertex of a parallelogram?

From one vertex only one diagonal can be drawn which divides the quadrilateral into two triangles. Hence when a diagonal is drawn from a vertex of a quadrilateral , two triangles are formed.

### How many diagonals are there in octagon?

20 diagonals
∴ The octagon has 20 diagonals. Hence, option C is the correct answer. Note: The octagon is a polygon in geometry, which has 8 sides and 8 angles.

How many diagonals are there in a hexagon?

9
For regular hexagon values of n=6. Therefore, in a regular hexagon the number of diagonals is 9.

#### How many diagonals can be drawn from a vertex of Decagon?

7
Answer: The number of diagonals that can be drawn from each vertex of a decagon is 7. Let’s look into the solution. Explanation: A decagon is a ten-sided polygon with ten vertices and ten angles.

#### How many diagonals from a single vertex can you draw in a regular heptagon?

14 diagonals
A heptagon has 14 diagonals.

How many diagonals can be drawn in a triangle?

A triangle has no diagonals. A square has two diagonals of equal length, which intersect at the center of the square. The ratio of a diagonal to a side is. A regular pentagon has five diagonals all of the same length.

## How many diagonals can be drawn by joining the vertices of an octagon?

Thus, there are 20 diagonals in a regular octagon. Using the formula, to draw a diagonal, you have to select two vertices out of n, but you cannot draw diagonal by joining the adjacent vertex. Number of diagonals = n C 2 – n , where n is the number of sides of the polygon. For octagon, n = 8. Hence,

## How many lines can be drawn from one vertex of a nonagon?

A nonagon is a 9-sided polygon and so had 9 vertices. From one vertex a line (diagonal) can be drawn to all of the other 8 vertices. However, there is already a line from the vertex to each of the two adjacent (neighbouring) vertices so they must be discounted, leaving 6 new lines. i.e. 6 diagonals from one vertex. This is a general formula.

How to calculate the number of diagonals you can draw?

Using the formula, to draw a diagonal, you have to select two vertices out of n, but you cannot draw diagonal by joining the adjacent vertex. Number of diagonals = n C 2 – n , where n is the number of sides of the polygon.

### How many diagonals does a 10 sided polygon have?

How many diagonals of a regular decagon (a 10 sided polygon) are not parallel to any of the sides (AMC12)? A decagon has (10 2) – 10 = 35 diagonals. Each pair of opposing sides has three diagonals which are parallel to them, so 5*3 = 15 of the diagonals are parallel to a side.