How to calculate the area of polygon?

The area of a regular polygon can be calculated using their apothems; an apothem is a line that links the polygon's center to the midpoint of any side that is perpendicular to that side.

This can be done by;

a. Finding the area with this formula; ½ × perimeter× apothem

b. Finding the apothem of the polygon, the apothem will be given to you when making use of the apothem method. Let's assume you are working with a hexagon that has an apothem with a length of 10√3

c. Finding the perimeter of the polygon, the perimeter is the addition of all the lengths of all sides. It can be provided for you, and if not, you can make use of the apothem to find it. Assume the perimeter 120 is provided

d. they are Inserting the perimeter and apothem value to the formula; ½ × 120 x 10√3= 600√3, which is the final answer.

A regular polygon is a two-dimensional convex figure with congruent sides and angles equal in measure. Many polygons, such as quadrilaterals or triangles, contain simple formulas for discovering their areas, but if your working with a polygon that has more than four sides, you should utilize the formula that uses the shape’s apothem and perimeter.

• These simple steps will help you calculate the area of a polygon.

• Calculate the area to find the area = perimeter x apothem

• Calculate perimeter, which is the sum of the length of all the sides

• The perimeter is the combined length of the outline of any two- dimensional figure for a regular polygon, and it can be calculated by multiplying the length of one side by the number of sides.

• Determine apothem.

• The apothem of a normal polygon is the shortest distance from the CenterPoint to one of the sides, producing a right angle.

• The formula for ascertaining the length of the apothem is the length of the side (s) divided by two times the tangent (tan) of 180 degrees divided by the number of sides (n) know the precise formula.

• The formula gives the area of a regular polygon.

• A = ½ pa

Calculating different shapes can always be complicated for you when you do not know what to expect.

These are the steps that you have to undergo:

• Follow this formula: area = 1/2 x perimeter x apothem

• In simple terms, this means that the perimeter will be equal to the sum of all lengths of the sides of the polygon.

• Once you have already changed the data to numbers, you will be able to come up with the right answer.

There are also some online calculators that are available that will help you look for the area of the polygon. Take note that it may be a bit different when you need to compute for the area of an irregular polygon.

You may want to know how to compute the number of square units that are available in a regular polygon.

You need to know the different formulas that can be used:

• If the length of the different sides is given, the formula that you will use is area = s2n/ 4tan (180/n)
• If the circumradius is given, the formula that you will use is area = r2n sin (360/n)/2
• If the inradius is given, the formula that you will use is area = a2ntan (180/n)

Take note that it can be harder if you are trying to figure out the area of an irregular polygon because there is no clear formula that you can use.

In geometry, one may need to find the area of a polygon. Polygons are plane figures that have an endless amount of line segments.

To find the area of a polygon, follow these steps:

• First, write down the formula for the area of a polygon, which is area =1/2 + perimeter x apothem

• Next, find the apothem of the polygon

• Then, find the perimeter of the polygon

• Plug the results from the two previous steps into the formula, which is area =1/2 + perimeter x apothem

• This will give you the area, which you will want to simplify into decimal form