# What is the formula to find a polygon?

## What is the formula to find a polygon?

All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°.

What is the formula for finding the number of sides of a polygon?

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.

### What is the formula to find the diagonal of a polygon?

According to the formula, number of diagonals = n (n-3)/ 2. So, 11-sided polygon will contain 11(11-3)/2 = 44 diagonals. Example 2: In a 20-sided polygon, one vertex does not send any diagonals.

How is a polygon shape?

A polygon is a flat two-dimensional shape with straight sides that are fully closed. The sides must be straight, not curved. However, polygons can have any number of sides. The word polygon comes from the Greek “polugonos”.

#### What is diagonal of a polygon?

Polygons. As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices.

How do you find the sides of a polygon when given the diagonals?

By using the formula for the number of diagonals of a polygon with n sides, you can determine how many sides a polygon has if you know the number of diagonals it has. For example, if a polygon has 54 diagonals, find how many sides it has. Then, solve for n using algebra. First multiply both sides by 2.

## How do you calculate a polygon?

For a regular polygon, it can be calculated by multiplying the length of one side by the number of sides (n). Determine the apothem. The apothem of a regular polygon is the shortest distance from the center point to one of the sides, creating a right angle. This is a little trickier to calculate than the perimeter.

How do I calculate volume for a polygon?

To find the volume within a polygon,select a Horizon in the navigation bar of the Map View.

• Open the Geometry tab and select the polygon you wish to use.
• In the Vertical Extents section,define the Top and Base boundaries using a constant or a horizon,or both.
• Select the Volume check box in the Results section to calculate the volume.
• ### What is the simplest form of Polygon?

The simplest polygon which can exist as a regular star. A star pentagon is known as a pentagram or pentacle. Can tile the plane. The simplest polygon such that the regular form is not constructible with compass and straightedge. However, it can be constructed using a Neusis construction .

How do you calculate interior angles of a polygon?

Method 1 of 2: Calculating Interior Angles in a Polygon Count the number of sides in the polygon. In order to calculate the interior angles of a polygon, you need to first determine how many sides the polygon has. Find the total measure of all of the interior angles in the polygon. Divide the total measure of all of a regular polygon’s angles by the number of its angles.