Question

Can you explain the difference between regular and irregular polygons? How is finding the area different? Be prepared to give an example.


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Answer 1

Answer:

 

Step-by-step explanation:

The difference between regular and irregular polygons:

Regular polygons

1. All sides and all the interior angles of the regular polygon are equal.

2. Since, all the interior angles are less than 180°, therefore they are convex in nature.

Irregular polygons:

1.Either the sides are not congruent, or the  interior angles are not congruent, or both the sides  and the interior angles are not congruent.

2. Since, one or more of the interior angles are greater than 180°, therefore they may be either concave or convex.

Finding the area for both regular and irregular polygons is different.

In case of regular polygon, it is equilateral and equiangular, we use a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side(APOTHEM) to find the area that is:

Area=$\frac{1}{2}{\times}perimeter{\times}apothem$.

But, in case of irregular polygons, finding the area is quite difficult unless we know the coordinates of the vertices as each side and angle can be different.

Examples:

A square is a regular polygon.

A scalene triangle is an irregular polygon.