News

# What is the formula of irregular polygon?

## What is the formula of irregular polygon?

Therefore, to find the sum of the interior angles of an irregular polygon, we use the formula the same formula as used for regular polygons. The formula is: Sum of interior angles = (n − 2) × 180° where ‘n’ = the number of sides of a polygon.

### How do you find the number of sides of an irregular polygon?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

What is an irregular polygon example?

An irregular polygon does not have all its sides equal and not all the angles are equal in measure. Examples of irregular polygons are scalene triangle, right triangle, isosceles triangle, rectangle, parallelogram, irregular pentagon, irregular hexagon, etc.

How do you calculate the area of an irregular pentagon?

When the side length and apothem is given, then the area can be calculated using the formula, Area = 1/2 × perimeter of pentagon × apothem.

## How do you find the missing interior angle of an irregular polygon?

How do I find the missing angle of an irregular polygon? First calculate the sum of all the interior angles of the polygon by using the formula (n – 2)(180°), where n is the number of sides. Then add together all of the known angles, and subtract that sum from the sum you calculated first.

### How do you identify irregular shapes?

The definition of a regular shape is that all the sides are equal and all the inside angles are equal. An irregular shape doesn’t have equal sides or equal angles. For example, an equilateral triangle is a regular shape because all the sides are equal AND all the angles are equal.

What is the regular polygon of 3 sides?

(i) A regular polygon of 3 sides is called an equilateral triangle.