[Maths Class Notes] on Area of Polygon Pdf for Exam

In maths, a polygon is a part of geometry which is a structure formed by adjoining straight lines. Some straight segments connect to forms a polygonal chain or circuit. It can also be said as a rigid plane bound by two or more circuits.

Area of a polygon can be irregular and regular. Square, rectangle, triangle, pentagon, hexagon, are the primary forms of a polygon. Since the size remains similar, it becomes easier to determine the area of regular polygons.

One can see that to find the area of a square, the length of one side must be known since its sides are equal. 

Students in this segment will learn about the area of polygon formula and its application. The area here refers to a space occupied within a figure or even object. An individual needs to proceed with standard measurement taking a square unit that is square meters. For shapes like rectangles, triangles, squares, trapeziums and others, there are separate formulas. But an irregular polygon requires a combination of two or more polygons for area calculation.

What is the Area of Regular Polygon?

The area of a polygon is defined as the region occupied irrespective of its shape, like a parallelogram, triangle, quadrilateral, square, rectangle or rhombus. It is always a two-dimensional plane.

The formulas for areas of unlike polygon depends on their respective shapes. Just as one requires length, base and height to find the area of a triangle. Similarly, different shape requires a specific formula.

Let us check the ways to find the formula of polygons and its areas.

How to Find the Area of Polygon?

It is essential to know that the area of a polygon not standard as its formula is not definite. Therefore, one needs to divide figures into squares, trapezium, triangles, etc. It is done to envisage the given geometry which is a combination. One can easily calculate the area for each section by adding any given data.

Below are some ways to find the area of types of polygon shapes.

How to Find Area of the Equilateral Triangle?

The area of an equilateral triangle is ideally the space that occupies a plane which is two dimensional. An equilateral triangle has all equal sides so the sum of interiors will be 60°. Therefore, the area of an equilateral triangle will be calculated when one side or length is provided.  

Area of Equilateral Triangle is calculated with the formula (√3/4)a.

What is the Area of Scalene Triangle Formula?

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of additional measures. However, the sum of all the interior angles is always equal to 180 degrees. 

The area of a scalene triangle can be found by taking its base ‘b’ and height ‘h’ which refers to –

A =1/2×b×h units in a square.

How to Find Area of Pentagon?

A pentagon is a form of a two-dimensional shape which has five sides. It is also called as polygon due to its five sides which can be both irregular and regular. The angles and sides of this shape are always parallel to each other. The total sum of inside angle of a pentagon is always 108 degrees while the outside is 72 degrees. 

Area of a regular pentagon is the area engaged by a perimeter and plane. This is also the sum of its all sides.

The number of diagonals in any pentagon is five so the solution will be {n*(n-4)}/2. Here n symbolises the number of sides.

In a pentagon, we know that the number of sides is equal to 5, so ‘n’ becomes five as well.

Therefore, Number of diagonals of a pentagon by applying area of pentagon formula is [5(5-4)]/2 

Which gives (5 x 1)/2 that is 2.5

One can check , which is a reliable education portal offering multiple benefits. They provide solutions to the area of the regular hexagon for revision purposes. Students can find a plethora of solved and unsolved exercises on an area of regular octagon and area of a regular hexagon. 

Moreover, students can check their live classes and training sessions available for a budget-friendly price. To make the best of these features, download the official app today!