Table of Contents

- 1 How many diagonals can be drawn from a vertex of an octagon?
- 2 How many diagonals can be drawn from one vertex of a hexagon?
- 3 How many diagonals can be drawn from a vertex of a parallelogram?
- 4 How many diagonals are there in octagon?
- 5 How many diagonals can be drawn from a vertex of Decagon?
- 6 How many diagonals from a single vertex can you draw in a regular heptagon?
- 7 How many diagonals can be drawn by joining the vertices of an octagon?
- 8 How many lines can be drawn from one vertex of a nonagon?
- 9 How many diagonals does a 10 sided polygon have?

## 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.