## How many sides does a convex nonagon?

9 sides
A nonagon is a polygon made up of 9 sides and 9 angles. Nonagon = Nona + gon where Nona means nine and gon means sides.

## How many diagonals does a nonagon have formula?

Expert-verified answer Formula for number of diagonals in a polygon of n sides: Thus, a nonagon has 27 diagonals.

How do you find the diagonal of a nonagon?

Answer. Answer: The formula for determining the number of diagonals of an n-sided polygon is n(n – 3)/2; thus, a nonagon has 9(9 – 3)/2 = 9(6)/2 = 54/2 = 27 diagonals.

### Is a nonagon a 9 sided shape?

A nonagon is a nine sided polygon and it is also called an Enneagon or 9-gon.

### What is a convex nonagon?

If all interior angles of a nonagon are less than 180°, it is convex. If one or more interior angles is larger than 180°, it is concave. A regular nonagon is a convex nonagon.

How many diagonals are there in a convex Pentagon?

5
Therefore, the number of diagonals in a polygon pentagon is 5.

#### How many diagonals does a convex hexagon have?

9
Number of Diagonals = n(n-3)/2 For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

#### What is the sum of a convex nonagon?

A nonagon has nine sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures. = 7 ● 180 or 1260 Simplify. Answer: The sum of the measures is 1260.

What is the sum of the angles of a convex nonagon?

So, the sum of the interior angles of a nonagon is 1260 degrees.

## How many sides does convex decagon have?

ten sides
A decagon has ten sides. The sum of the interior angles of a decagon is 1440°. The sum of the exterior angles of a decagon is 360°.

## How many diagonals does a convex have?

two diagonals
A convex quadrilateral has two diagonals.

How many diagonals does a convex triangle have?

0
Summary: (a) The number of diagonals a convex quadrilateral has is 2. (b) The number of diagonals a regular hexagon has is 9. (c) The number of diagonals a triangle has is 0.

### How many diagonals does a convex pentagon have?

From this, we can calculate the number of diagonals. Here, AC and BD are two diagonals. Here, the diagonals are AD, AE, BD, BE, FC, FB, AC, EC, and FD. Totally there are 9 diagonals.

### How many diagonals are there in a convex pentagon?

What is the sum of the interior angles of a convex nonagon?

1260 degrees
So, the sum of the interior angles of a nonagon is 1260 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

#### What is the interior angles of a convex nonagon?

A convex regular nonagon has 9 congruent exterior angles. 9n = 360 n = measure of each exterior angle n = 40 Divide each side by 9. The measure of each exterior angle is 40. Since each exterior angle and its corresponding interior angle form a linear pair, the measure of the interior angle is 180 – 40 or 140.

#### How many vertices does a nonagon have?

9Nonagon / Number of vertices

What is convex decagon?

A convex decagon has angles that are all smaller than 180 degrees. A concave decagon has at least one angle that is larger than 180 degrees. A simple decagon does not have any sides that intersect. A complex decagon has sides that intersect each other.

## How many diagonals are there in each of the following a convex pentagon?

Solved Examples

Polygon Name Number of Sides Number of Diagonals