Whenever we talk around geometry, us talk about side lengths, angles, and areas the the shapes. We experienced the various other two before; stop talk about the latter. You gained to view so numerous mathematics exam questions regarding finding the shaded region of a specific polygon.

You are watching: What is the area of the polygon given below

For that, you require to have the knowledge of recipe of area for different kinds of polygons.

In this article, you will learn:

What the area that a polygon is How to find the area the a polygon, consisting of the area of a regular and irregular polygon?


What is the Area that a Polygon?

In geometry, the area is characterized as the an ar occupied inside the boundary of a two-dimensional figure. Therefore, the area of a polygon is the total space or an ar bound through the political parties of a polygon.

The traditional units because that the measure up of the area are square meters (m2).

How to discover the Area that a Polygon?

Regular polygons such together rectangles, squares, trapeziums, parallelograms, etc., have pre-defined formulas because that calculating their areas.

However, because that an irregular polygon, the area is calculated by subdividing an rarely often, rarely polygon into small sections of regular polygons.

Area of a regular polygon

Calculating a consistent polygon area can be as straightforward as detect the area the a continual triangle. Consistent polygons have actually equal side lengths and also an equal measure of angles.

There room three methods of calculating the area the a continual polygon. Each an approach is supplied on different occasions.

Area of a polygon utilizing the concept of the apothem

The area of a consistent polygon deserve to be calculated using the principle of apothem. The apothem is a heat segment that joins the polygon’s center to the midpoint of any kind of side the is perpendicular to the side. Therefore, the area the a constant polygon is given by;

A = 1/2 . Ns . A

where ns = the perimeter the the polygon = amount of every the next lengths that a polygon.

a = apothem.

See more: How Long Do Football Games Last ? How Long Is A Football Game

Consider a pentagon presented below;


Therefore, ABED is a rectangle, and also BDC is a triangle.

Area of rectangle = together * w

= 20 * 8 = 160 cm2

Area the the triangle = 1/2 . B . H

The height the triangle can be calculate by using the Pythagoras theorem. Because that instance,